Question

Use long division to convert 2 7/16%0D%0A2%0D%0A7%0D%0A16%0D%0A to a decimal.(1 point)

Answer 1

To convert the fraction \( \frac{7}{16} \) into a decimal using long division, we can follow these steps:

1. Set up the long division, dividing 7 by 16.
2. Since 16 goes into 7, we will append a decimal point and add a zero, making it 70.

### Long Division Steps:

- 16 goes into 70 four times (16 × 4 = 64).
- Write down 4 above the line.
- Subtract 64 from 70:
\( 70 - 64 = 6 \).
- Bring down another 0, making it 60.

- 16 goes into 60 three times (16 × 3 = 48).
- Write down 3 above the line.
- Subtract 48 from 60:
\( 60 - 48 = 12 \).
- Bring down another 0, making it 120.

- 16 goes into 120 seven times (16 × 7 = 112).
- Write down 7 above the line.
- Subtract 112 from 120:
\( 120 - 112 = 8 \).
- Bring down another 0, making it 80.

- 16 goes into 80 five times (16 × 5 = 80).
- Write down 5 above the line.
- Subtract 80 from 80:
\( 80 - 80 = 0 \).

Now, we can stop as we've reached 0.

### Result:
Putting it all together, we have:

\[
\frac{7}{16} = 0.4375
\]

### Convert Percentage to Decimal:
2 7/16% as a decimal would be calculated as follows:

1. Convert the percentage to decimal form by dividing by 100:
\( 2.4375 \div 100 = 0.024375 \)

### Final Answer:
The decimal equivalent of \( 2 \frac{7}{16}\% \) is \( 0.024375 \).