Transcript for:
Division of Fractions and Word Problems

[Applause] math 6 quarter 1 week three milk base let's learn about so's routine or non-routine problems involving division of fractions lesson [Music] two hello kids it's me teacher F 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 hi kids for today's lesson in math 6 we will discuss about solves routine or non-routine problems involving division of fractions for most essential learning competencies soles routine or non-routine problems involving division without or with any of the other operations of fractions or mixed fractions using appropriate problem solving strategies and tools after going through this lesson you are expected to solve routine or non-routine problems involving division without or with any of the other operations of fractions and mixed fractions using appropriate problem solving strategies and tools to check if division is the operation involved in solving problem you need to know the following terms quotient divided by cut average and split into two [Music] let's do learning test one translate each of the following problem write your answer in your notebook number one the quotient of 9 and 34s and 5/8 quotient means the answer for division the answer is 9 and 34s divided by 5/8 number two 15 and 1/3 divide by 23 over 18 the answer is 15 and 1/3 ided by 23 over 18 number three 12 and 1 halves split into four split into two means divide the answer is 12 and 1 Hales ided 4 number four four the quotient of 3 and 1 fs and 2 and 1/3 the answer is 3 and 1/ Fs divided by 2 and 1/3 and number five the quantity 6 * 3 and 1/ 2 so the answer is open and close parentheses 6 * 3 and 1es / by two for learning test two solve the given problems write your answer in your notebook number one Mario has 12 boxes of pizza he cut each pizza into eight how many pieces of pizza will there be so here is the solution 12 boxes of pizza divided by 1/8 12 is a whole number in fraction it is 12 over 1 first rewrite 12 then change the division sign to multiplication then get the reciprocal of the divisor the reciprocal of 1/ 18 is 8 over 1 so there is no cancellation for this fraction we can now multiply this fraction so 12 * 8 = 96 then copy the denominator 1 96 over 1 or write this into whole number 96 96 pieces of pizza number two Tony had 5 and 1/2 kg of sugar how many cakes can he bake if he will use 1/4 kg of sugar per cake here's the solution 5 and 1 Hales divided by 1/4s first change the mixed number to improper fraction 5 * 2 + 1 = 11 hves then change the division sign to multiplication then get the reciprocal of 1/4s which is 4 over 1 then apply cancellation cancel 4 and two they are both divisible by two 2 / 2 = 1 and 4 / 2 = 2 then multiply 11 * 2 = 22 then 1 * 1 = 1 22 over 1 or write this into whole number 22 this is the final answer he can Bak 22 cakes number three what is the average of 2 and 1/3 and 3 and 1 halfes in this situation we have to add 2 and 1/3 and 3 and 1 halfes and divide them by two first get the LCD of the denominators 3 and two their LCD is six and now we have the same denominators next we will get the numerators of both fraction to get the numerator divide 6 by 3 6 / 3 * 1 = 2 for the second fraction let's divide 6 / 2 * 1 = 3 and then add add the numerators 2 + 3 = 5 then copy the common denominators six next add the whole numbers 2 + 3 equal 5 so the answer is 5 and 56 change this to improper fraction 5 * 6 + 5 = 35 / 6 and then the whole number two can also be written as 2 over 1 to make it fraction so change the division sign to multiplication sign then get the reciprocal of 2 over 1 the reciprocal of 2 over 1 is 1 / 2 or 1 halves now multiply 35 * 1 = 35 then 6 * 2 = 12 35 over 12 and then simplify change 35 over 12 to mix fraction so 35 / 12 = 2 and 11/ 12 Number Four J will put 4 FS mg of salt in each plastic how many Plastics will he need for 14 mg of salt so for the solution write 14 mg of salt divided by 4 FS mg of salt rewrite 14 then change the division sign to multiplication sign then get the reciprocal of 4 FS which is 54s then apply cancellation cancel 4 and 4 they are both divisible by 2 14 / 2 = 7 and 4 / 2 = 2 now multiply 7 * 5 = 35 then copy the denominator 2 next simplify change this to mixed fraction 35 / 2 equal 17 and 1 Hales the answer is 17 and 1 Hales Plastics of salt learning test three solve the following problems write your answer in your notebook number one how many 1 fths are there in 17 and 1 Hales for the solution 17 and 1 Hales you are going to divide this to 1 FS 17 and 1 hves divided by 1 FS first first change the mixed fraction to improper fraction 17 * 2 + 1 = 35 halves change the division sign to multiplication then get the reciprocal of 1/ FS which is 5 over 1 so there is no cancellation for these fractions proceed to multiplication 35 * 5 = 175 then 2 * 1 = 2 then change the answer to mixed fraction 175 / 2 = 87 and 1 halves number two how many 2/3 CM can be cut from a 20 cm piece of ribbon here is the solution 20 cm pieces of ribbon divided by 2/3 CM rewrite 20 then change the division sign to multiplication then get the reciprocal of 2/3 which is 3 halves apply cancellation cancel 20 and 2 they are both divisible by 2 20 / 2 = 10 and 2 / 2 = 1 then multiply 10 * 3 = 30 write the denominator 1 30 over 1 can also be written into whole number which is 30 the answer is 30 pieces of rebon number three a glass can hold 1/5 L of juice how many glasses can 13 and 3 f l of juice can be poured into it here's the solution Divide 13 and 35s divided by 1 FS first change the mixed fraction to improper fraction 13 * 5 + 3 = 68 over 5 then change the division sign to multiplication then get the reciprocal of 1/ FS which is 5 over 1 then apply cancellation cancel 5 and five they are both divisible by 5 5 / 5 = 1 and 5 / 5 = 1 then multiply 68 * 1 = 68 1 * 1 = 1 change the answer into a number which is 68 68 glasses of juice he can make number four a tailor uses 2 and 1 half yards of cloth for a t-shirt if he has 20 yards of cloth how many t-shirts can he make for the solution 20 y of clothes divided by 2 and 1/2 yards of cloth for a t-shirt rewrite 20 then change the division sign to multiplication then change the mixed fraction to improper fraction 2 * 2 + 1 = 5 halves get the reciprocal of five halves which is 2 FS then apply cancellation cancel 20 and 5 they are both divisible by 5 20 / 5 = 4 and 5 / 5 = 1 then multiply 4 * 2 = 8 then copy the denominator 1 the answer is 8 over 1 or 8 he can make eight t-shirts and for learning task four read the statement write agree if you can do it disagree if you cannot do it or more if you need assistance in doing it number one I can easily identify the given in a problem so for example your answer is agree because you can do it number two I can determine what is as in the problem easily for example your answer is more because you need assistance and for number three I can now easily check whether the operation to be used is division or not because of the phes and hints I've learned for example your answer is disagree because you cannot do it number four I can now easily solve the number sentence involving division of fractions number five I can easily write the label or units of my answer correctly number six I can easily answer or solve any routine problems about division of fractions number seven I can answer or solve non-routine problems about division of fractions easily number eight I can solve the problem on division of fraction without help and number nine if needed I can write my answer in lowest term correctly so kids it's your turn to answer the following statement just write agree if you can do it disagree if you cannot do it or more if you need assistance in doing it 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]