Question

When Sierra gets home 3/4, of a sandwich is left in the refrigerator. She cuts the remaining part into three equal
parts and eats two of them. What fraction of the whole sandwich did she eat?

Answer 1

The fraction of the whole sandwich she ate is $\frac{1}{2}$

Step-by-step explanation:

The given is:

• When Sierra gets home 3/4, of a sandwich is left in the refrigerator
• She cuts the remaining part into three equal  parts
• She eats two of them

We need to find What fraction of the whole sandwich she ate

∵ The remaining of the whole sandwich in the refrigerator is $\frac{3}{4}$

∵ Sierra cuts the remaining part into 3 equal parts

- That mean divide $\frac{3}{4}$ by 3

∴ Each part = $\frac{3}{4}$ ÷ 3

- Replace ÷ by × and reciprocal 3

∴ Each part = $\frac{3}{4}$ × $\frac{1}{3}$

∴ Each part = $\frac{1}{4}$ of the whole sandwich

∵ She ate two of them

∴ She ate = 2 × $\frac{1}{4}$ = $\frac{2}{4}$

- Divide up and down by 2 to simplify it

∴ She ate = $\frac{1}{2}$ of the whole sandwich

The fraction of the whole sandwich she ate is $\frac{1}{2}$

Learn more:

You can learn more about the fractions in brainly.com/question/8520610

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