Question

Which ratios are less than 8 to 10? Check all that apply.
mr001-1.jpg
3:5
mr001-2.jpg
13:15

Answer 1

To determine which ratios are less than \( \frac{8}{10} \), we can simplify \( \frac{8}{10} \) to \( \frac{4}{5} \).

Now, we will convert the given ratios \( \frac{3}{5} \) and \( \frac{13}{15} \) into their decimal forms to compare them.

1. For \( \frac{3}{5} \):
\[
\frac{3}{5} = 0.6
\]

2. For \( \frac{13}{15} \):
\[
\frac{13}{15} \approx 0.8667
\]

Now, we compare these values to \( 0.8 \) (which is the decimal equivalent of \( \frac{4}{5} \)):

- \( 0.6 < 0.8 \) (so \( \frac{3}{5} < \frac{8}{10} \))
- \( 0.8667 > 0.8 \) (so \( \frac{13}{15} > \frac{8}{10} \))

Thus, the only ratio that is less than \( \frac{8}{10} \) is \( \frac{3}{5} \).

In summary, the answer is:
- \( 3:5 \) is less than \( 8:10 \)
- \( 13:15 \) is not less than \( 8:10 \)