Question

He's long division to convert 4/15 to a decimal a 0.27 with as quickly lines in front of it B 3.75 C 4.15 d26

Answer 1

To convert the fraction \( \frac{4}{15} \) to a decimal using long division, here are the steps:

1. Divide 4 by 15. Since 4 is less than 15, you start with 0.
2. Place a decimal point and add a zero to 4, making it 40.
3. Determine how many times 15 goes into 40. It goes 2 times (because \( 15 \times 2 = 30 \)).
4. Subtract 30 from 40, leaving you with 10. Bring down another 0, making it 100.
5. Determine how many times 15 goes into 100. It goes 6 times (because \( 15 \times 6 = 90 \)).
6. Subtract 90 from 100, leaving you with 10 again. Bring down another 0, making it 100 again.
7. Repeat step 5 and step 6.

So, the result of \( \frac{4}{15} \) is:

\[ 0.2666... \] (where the 6 repeats).

The decimal for \( \frac{4}{15} \) is approximately 0.27 when rounded to two decimal places.

Looking at your options:
A) 0.27 (correct)
B) 3.75
C) 4.15
D) 26

The correct answer is **A) 0.27**.