Question

Which option shows 18 ÷
15 as a fraction or mixed number?
Responses

2 315
2 3 over 15

1518
15 over 18

1 1815
1 18 over 15

1 315

Answer 1

To convert \( 18 \div 15 \) into a fraction or mixed number, we start by expressing it as a fraction:

\[
18 \div 15 = \frac{18}{15}
\]

Next, we can simplify this fraction. Both 18 and 15 can be divided by 3:

\[
\frac{18 \div 3}{15 \div 3} = \frac{6}{5}
\]

Now, to express \(\frac{6}{5}\) as a mixed number, we see that 6 is greater than 5. Therefore, we can write:

\[
\frac{6}{5} = 1 \frac{1}{5}
\]

Now let's analyze the response options given:

1. **2 315** - Incorrect.
2. **2 3 over 15** - Incorrect.
3. **1518** - Incorrect.
4. **15 over 18** - Incorrect.
5. **1 1815** - Incorrect.
6. **1 315** - This could be interpreted as \( 1 \frac{3}{15} \), which simplifies to \( 1 \frac{1}{5} \) (since \(\frac{3}{15} = \frac{1}{5}\)).

The best response that shows \( 18 \div 15 \) as a fraction or mixed number is:

**1 315** (interpreted as \( 1 \frac{3}{15} \)).