You ate about $$ \frac{1}{2} $$ of a sandwich. Which fraction is closest to the amount you ate?

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UpStudy AI · Accepted Answer

To determine which fraction is closest to the amount you ate, which is $$ \frac{1}{2} $$, we can compare it to common fractions.

The fractions that are typically considered close to $$ \frac{1}{2} $$ include:

- $$ \frac{1}{3} $$
- $$ \frac{2}{5} $$
- $$ \frac{3}{5} $$
- $$ \frac{1}{2} $$
- $$ \frac{3}{4} $$

Now, let's convert these fractions to decimal form to see which is closest to $$ 0.5 $$:

- $$ \frac{1}{3} \approx 0.333 $$
- $$ \frac{2}{5} = 0.4 $$
- $$ \frac{3}{5} = 0.6 $$
- $$ \frac{1}{2} = 0.5 $$
- $$ \frac{3}{4} = 0.75 $$

Now, we can calculate the absolute differences from $$ 0.5 $$:

- $$ |0.5 - 0.333| = 0.167 $$
- $$ |0.5 - 0.4| = 0.1 $$
- $$ |0.5 - 0.6| = 0.1 $$
- $$ |0.5 - 0.5| = 0 $$
- $$ |0.5 - 0.75| = 0.25 $$

From these calculations, we can see that $$ \frac{1}{2} $$ is exactly equal to the amount you ate, and both $$ \frac{2}{5} $$ and $$ \frac{3}{5} $$ are equally close with a difference of $$ 0.1 $$.

Thus, the fraction that is closest to the amount you ate is $$ \frac{1}{2} $$.
The fraction closest to the amount you ate is $$ \frac{1}{2} $$.

You ate about \( \frac{1}{2} \) of a sandwich. Which fraction is closest to the amount you ate?

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