Question

Layla was making bread. She has 6 3/4 cups of flour. Now Layla has 10 1/2 cups of flour. How much flour did Laylas aunt give her?

Answer 1

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Answer 2

First, we need to rewrite the given amounts of fluor from mixed numbers to fractions, we can do this by following the following steps:

1. multiply the whole number (the one on the left of the fraction) by the denominator of the fraction:

• For the 6 3/4 cups of flour

6 * 4 = 24

• For the 10 1/2 cups of flour

10 * 2 = 20

2. Add the result from the previous multiplication to the numerator of each fraction:

• For the 6 3/4 cups of flour

24 + 3 = 27

• For the 10 1/2 cups of flour

20 + 1 = 21

3. Use the result from the previous step as the numerator of the new fraction, leave the denominator unchanged:

• For the 6 3/4 cups of flour

6 3/4 = 27 / 4

• For the 10 1/2 cups of flour

10 1/2 = 21 / 2

Now that we have expressed both amounts of flour as fractions, we can find how much flour Layla's aunt gave her by subtracting 27/4 from 21/2, like this:

`(21)/(2)-(27)/(4)`

To be able to perform this subtraction, the denominators of the fractions must be the same, we can make the equal by multiplying the denominator and numerator of the left fraction by 2, like this:

`\begin{gathered} (21*2)/(2*2)-(27)/(4) \\ (42)/(4)-(27)/(4) \\ (42-27)/(4)=(15)/(4) \end{gathered}`

We can express this result (15/4) as the mixed number 3 3/4.

Then, her aunt gave her 3 3/4 cups of flour