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D Learning Task 1:Read each problem and then solve. Write your answer in your notebook 1) Mrs. Susan bought 3/5 m of curtain cloth. She used 1/8 m to make a curtain for the living room window. How many meters of cloth were not used? 2) Faye had a piece of ribbon. After using 3/8 meter for her headband, she had 1/4 meter left. How many meters of ribbon did she have at first? 3) Rita has 3/4 m of Ifugao cloth. She used 2/3 m for placement. What part of Ifugao cloth was left. using 4 step plan​

Sagot :

OPERATIONS OF FRACTIONS

Answers with Step-by-step explanation:

1) Mrs. Susan bought 3/5 m of curtain cloth. She used 1/8 m to make a curtain for the living room window. How many meters of cloth were not used?

Solution:

First, we need to identify the required data. In this problem, we are required to calculate the amount of cloth which are not used by Mrs. Susan. Then, we identify the following given:

  • 3/5 m of curtain cloth is the initial length of cloth that Mrs. Susan had
  • 1/8 m is used to make a curtain for the living room

Now, the solution is to subtract 1/8 from 3/5 but since both of them are dissimilar fractions (meaning fractions whose denominators are not the same), we can use the cross-multiplication method for easier way of calculation.

Simply, the product of the numerator of 3/5 and denominator of 1/8 minus the product of the numerator of 1/8 to the denominator of 3/5

(3)(8) - (1)(5) = 24 - 5 = 19

Then, the denominator of the answer is the product of the denominators of the two fractions which are 5 and 8. The product of 5 and 8 is 40.

So, the final answer is 19/40 meters.

2) Faye had a piece of ribbon. After using 3/8 meter for her headband, she had 1/4 meter left. How many meters of ribbon did she have at first?

Solution:

To solve for the original length of ribbon that Faye had, just simply add 3/8 and 1/4. We can use equivalent fractions to make them similar fractions. Since 8 is also the multiple of 4, and it is just 2 to multiply 4 to have 8, so we will also multiply 2 to 1 in 1/4. Thus, 1/4 is equal to 2/8. We can now then add the two fractions.

3/8 + 2/8 = 5/8 (Simply add the numerators and copy the denominator.)

Therefore, Faye had initially 5/8 meters of ribbon.

3) Rita has 3/4 m of Ifugao cloth. She used 2/3 m for placement. What part of Ifugao cloth was left?

Solution:

Simply subtract 3/4 and 2/3 by cross-multiplication method.

(3)(3) - (2)(4) = 9 - 8 = 1

Then, the denominator is 4 x 3 = 12.

Thus, Rita has 1/12 meter cloth left.

Learn more about operations of fractions:

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