[Applause] math 6 quarter 1 week two milk base let's learn about Sol's routine and nonroutine problems involving multiplication without or with addition or subtraction of fractions and mixed fractions lesson two hello kids it's me teacher PR don't forget to subscribe like and share and hit the notification Bell for the latest video you can also follow my Facebook page teacher FR [Music] TV hello kids for today's lesson in math 6 we will discuss about Sol's routine and non-routine problems involving multiplication without or with addition or subtraction of fractions and mixed fractions this is lesson two of week two for most essential learning competencies solves routine or non-routine problems involving multiplication without or with addition or subtraction of fractions and mixed fractions using appropriate problem solving strategies and tools after going through this lesson you are expected to solves routine or non-routine problems involving multiplication without or with addition or subtraction of fractions and mix fractions using appropriate problem solving strategies and tools in solving word problems we have routine and non-routine types of problems since it was already defined in lesson two we will not Define it in this topic in multiplication we will take note of the possible phases that we can use in multiplying any kinds of numbers These are times the product of multiplied by of twice and Thrice these are the possible phes to learn more about our topic we will start our lesson by doing the following activities first is learning task one translate the given phrases to mathematical phrases write your answer in your notebook number one twice the sum of 3 fths and 2/3 less 1/2 is what number what is the mathematical press of this given very good the mathematical phrases is tce the sum means three times then open and close parentheses 3 FS + 2/3 L 1/2 means - 1/2 number two 1/4 * 2/3 give the mathematical Praises of this given Praises very good the mathematical phes is 1/4 * 2/3 means 1/4 * 2/3 number three the product of two fours and the sum of three halves and four what is the mathematical press of this given phes very good the product of 24s means 24 times then open and close for parentheses the sum of three halves and four it means three halves + 4 number four the difference of five and the product of 2/3 and 1 six what is the mathematical phes of these given phrases very good the difference of five it means 5 minus use open and close parentheses 2/3 * six and number five the product of eight and the sum of 34s and it's reciprocal give the mathematical phes of this given [Music] phrases very good the product of eight means 8 * then open and close parentheses the sum of three ports and its reciprocal 34s + 4/3 4/3 is the reciprocal of 34s in problem solving there are steps that we need to follow first identify the given facts the data needed to solve the problem next identify what is asked in the problem third determine the operation then write the number sentence fourth solve the problem and last check your answer to know whether your answer is correct now let's move to learning task two translate each of the following problem into mathematical sentence then solve write your answer in your notebook number one 34s ultied by 16 / 21 is what number so we will translate these given phrases into mathematical phrases which is three 4S multiplied by it means times then 16 over 21 first we will use the cancellation method cancelled 3 and 21 the common factor of 3 and 21 is 3 3 / 3 = 1 and 21 / 3 = 7 then cancelled 4 and 16 the common factor of 4 and 16 is 4 then divide 4 / 4 = 1 then 16 / 4 = 4 now write the new fraction 1/ 1 * 4/ 7 and then multiply 1 * 4 = 4 then 1 * 7 = 7 so the answer is 4 over 7 number number two the product of 5 and 79 and 27 over 56 is what number translate this into mathematical phes product means we will going to multiply 5 and 79 * 27 over 56 so the first thing that we are going to do is change the mixed fraction into improper fraction 5 * 9 + 7 = 52 then copy the denominator 9 52 over 9 then rewrite 27 over 56 now use the cancellation method cancelled 52 and 56 their common factor is 4 52 / 4 is 13 and 56 / 4 is 14 another pair that we are going to cancel are 9 and 27 their common factor is 9 9 / 9 is 1 and 27 / 9 is 3 now write the new fraction 13 / 1 * 3 over 14 and then multiply 13 * 3 = 39 then 1 * 14 = 14 39 over 14 is improper fraction ction we will change this to mixed number 39 / 14 = 2 then the numerator is the remainder which is 11 and then copy the denominator 14 the answer is 2 and 11 over 14 number three 4 and 25 * 7 and 1/3 is what number translate this into mathem ma matical press 4 and 25s * 7 and 1/3 both are mixed fractions change them to improper fraction 4 * 5 + 2 = 22 then copy the denominator 5 22 over 5 next 7 * 3 + 1 = 22 then copy the denominator 3 22 over 3 so so there is no common factor so we are going to multiply the numerator and denominator 22 * 22 = 484 5 * 3 = 15 484 over 15 is improper fraction change this to mixed number 484 / 15 equal 32 then write the remainder as numerator which is four then copy the denominator 15 the answer is 32 and 4 over 15 number four twice the product of 8 over 15 and 2 and 47 so translate this to mathematical phrases twice the product means two times then open and close parentheses 8 over 15 * 2 and 47 first change the mix mixed fraction to improper fraction 2 * 7 + 4 = 18 then copy the denominator 7 now rewrite 8 over 15 then multiply them 8 * 18 = 112 15 * 7 = 105 now multiply by 2 or we can write this as 2 over 1 100 112 * 2 = 224 and 105 * 1 = 105 224 over 105 is improper fraction change this to mixed number so 224 / 105 = 2 is the whole number and the remainder is 14 then write the denominator 105 so the answer is 2 and 14 over 105 for learning Tas three solve the following problems write your solution in your notebook number one a room is 8 and 2/3 M by 5 and 1/4 M what is the area of the room translate this into mathematical phrases so 8 and 2/3 * 5 and 1/4 first change the mixed fraction FS to improper fractions 8 * 3 + 2 = 26 / 3 multip by 5 * 4 + 1 = 21 over 4 then use the cancellation method cancel 26 and 4 the common factor of 26 and 4 is 2 26 / 2 = 13 and 4 / 2 = 2 another pair of numerator and denominator that we are going to cancel are 3 and 21 their common factor is 3 3 / 3 = 1 21 / 3 = 7 now write the new fraction 13 / 1 * 7 / 2 and then multiply 13 * 7 = 91 then 1 * 2 = 2 91 / 2 is improper fraction change this to mixed number 91 / 2 = 45 which is the whole number and the remainder is one then copy the denominator two so the answer is 45 and 1/2 number two a group of volunteers pack 198 bags of rice each bag contain 3 and 1/4 kilo of rice how many kilog of rice rice did the volunteers pack so 198 bags of rice multiply by 3 and 1/4 Kil of rice first change the mixed fraction to improper fraction 3 * 4 + 1 = 13 / 4 then multiply 198 198 is same as 198 over 1 use the cancellation method cancel 198 and 4 their common factor is 2 198 / 2 = 99 and 4 / 2 = 2 now write the new fraction 99 over 1 * 13 / 2 then multiply 99 * 13 = 1,287 then 1 * 2 = 2 1,287 / 2 is improper fraction change it to mixed number 1,287 / by 2 equal 643 the remainder is 1 over 2 so the answer is 643 and 1/2 number three a baker uses 3 and 35th tablespoon of melted butter for every kilogram of Flor how many tablespoon of melted butter he used for 13 and 1/2 kg of Flor so 3 and 3 FS multip by 13 and 1/2 change the mixed fraction into improper fraction 3 * 5 + 3 = 18 / 5 * 13 * 2 + 1 = 27 over 2 and then cancel 18 and 2 their common factor is 2 18 / 2 = 9 then 2 / 2 = 1 now write the new fraction 9/ 5 * 27 / 1 then multiply 9 * 27 = 243 then 5 * 1 = 5 243 over 5 is improper fraction change this to mixed number 200 143 / 5 = 48 then the remainder is the numerator which is three then copy the denominator five the answer is 48 and 35ths number four aling lose bought 38 yards of linen cloth which cost 72 pesos per yard she gave 1,000 pesos to the cashier how much change will she receive so one ,000 pesos minus open and close parentheses 38 y * 72 pesos per yard first cancelled 8 and 72 their common factor is 8 3 over 1 * 9/ 1 then multiply 3 * 9 = 27 then 1 * 1 = 1 27 over 1 is also written as as 27 now subtract 27 pesos to 1,000 so 1,000 pesos 27 pesos the answer is 937 pesos so it means 38 yards of linen cloth cost only 27 pesos she gave 1,000 pesos then subtract 27 pesos which is the cost of 38 yards of blin and cloth her change is 937 pesos learning task 4 write the equation and solve in your notebook number one multiply 7/ 9 to sum of 8 and 37 and 5 and 11 over 14 so multiply 7/ 9 * to the sum of 8 and 37 and and 5 and 11 14 so open and close parentheses first add the whole number 8 + 5 = 13 and then the GCF of 7 and 14 is 14 now divide 14 and denominator 7 then multiply 3 14 / 7 = 2 * 3 = 6 next add the numerator 11 6 + 11 next rewrite 13 then add the numerator 6 + 11 = 17 then copy denominator 14 next rewrite 7/9 multiply it to 13 and 17 over 14 we have to change the mixed number into improper fraction so again rewrite 7 over 9 change the mixed number to improv fraction so 13 * 14 + 17 = 199 then copy the denominator 14 now use the cancellation method cancel 7 and 14 their common factor is 7 7 / 7 = 1 then 14 / 7 = 2 now multiply the numerators 1 * 199 = 199 then multiply the denominator 9 * 2 = 18 so 199 over 18 is improper fraction change this to a mixed number 199 / 18 = 11 which is the whole number and then the remainder is the numerator the remainder is one and copy the denominator 18 so the answer is 11 and 1 over 18 number two the product of 6 over 7 and 2/3 is 67 * 2/3 first use the cancellation method cancel 6 and three their common factor is 3 6 / 3 = 2 3 / 3 = 1 now multiply 2 * 2 = 4 then 7 * 1 = 7 so the final answer is 47 number three find the area of a room 9/ 7 m and 2/ 7 m so 97 * 27 there is no cancellation for this fraction so simply multiply the numerators and the denominators 9 * 2 = 18 7 * 7 = 49 the final answer is 18 over 49 number four a bus can travel 18 and 38 km in an hour how far can it travel in 3/8 hours so 18 and 38 * 38 first change the mixed fraction to improper fraction 18 * 8 + 3 = 147 / 8 then rewrite 38 now multiply 147 * 3 = 441 then 8 * 8 = 64 441 over 64 so this is improper fraction change it to mixed number 441 / 64 = 6 6 is the whole number and the remainder is the numerator the remainder is 57 then copy the denominator 64 the answer is 6 and 57 over 64 and for number five indai wanted to have 120 kg of Indian mango she picked 10 bags of it each bag contains 9 and 1/2 kg how many kilog of engan mango did she needs more 120 minus open and close parentheses 10 bags * 9 and 1/2 kg so first change mixed number to improper fraction 9 * 2 + 1 = 19 / 2 then rewrite 10 times then use the cancellation method cancel 10 and 2 there come common factor is 2 10 / 2 = 5 and 2 / 2 = 1 now multiply subtract 120 - 95 the answer is 25 kg she need 25 kg more so kids do you understand our lesson for today wow good job kids I hope you learn a lot from this lesson until our next topic bye-bye kids thanks for watching [Music]