Emily uses 1 2/3 cups of sugar and 3 1/4 cups flour to make muffins.
She says she has 1 2/3 more cups of flour than sugar. Do you agree? Explain.
Help!
Answers
Answer:
No. The difference is 1 7/12 not 1 2/3.
Step-by-step explanation:
3 1/4 = (4x3+1)/4 = 13/4
1 2/3 = (3x1+2)3 = 5/3
LCM = 12
13/4 = 39/12
5/3 = 20/12
39-20=19
19/12 = 1 7/12.
The flour is 1 7/12 cups more than Sugar, So Emily's statement is false.
Given:
Emily uses 1 2/3 cups of sugar and 3 1/4 cups of flour to make muffins.
She says she has 1 2/3 more cups of flour than sugar.
To find:
Do you agree? Explain.
Solution:
From the data,
Emily uses 1 2/3 cups of sugar and 3 1/4 cups of flour to make muffins.
For simple calculations convert the above fractions into improper fractions as follows
1 2/3 cups = 5/3 cups [ (3 × 1) + 2 = 5 ]
3 1/4 cups = 13/4 cups [ (4 ×3) + 1 = 13 ]
Now find the difference between both measurements
=> 13/4 - 5/3
=> [ 13(3) - 5(4) ]/12 [ Take LCM of 3 and 4 as 12 ]
=> [ 39 - 20]/12
=> 19/12
Here 19/12 = 1 7/12
Hence,
The flour is 1 7/12 cups more than Sugar, So Emily's statement is false.
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