Use long division to convert 27/50 to a decimal.(1 point)

Question

Responses

1.851
1.851

0.54
0.54

5.4
5.4

27.5

Answer 1

To convert the fraction \( \frac{27}{50} \) to a decimal using long division, follow these steps:

1. Set up the long division: Place 27 under the long division bar and 50 outside.

2. Determine how many times 50 goes into 27: Since 50 is larger than 27, it goes in 0 times. Write 0 above the division bar.

3. Add a decimal point: Since we have 0 as the whole number, we add a decimal point and a zero to make 27.0, bringing down the zero to make it 270.

4. Calculate how many times 50 goes into 270: 50 goes into 270 five times (since \( 50 \times 5 = 250 \)). Write 5 above the division bar.

5. Subtract: Now subtract 250 from 270: \[ 270 - 250 = 20 \]

6. Bring down another zero: Bring down another zero to make 200.

7. Calculate how many times 50 goes into 200: 50 goes into 200 four times (since \( 50 \times 4 = 200 \)). Write 4 above the division bar next to the 5.

8. Subtract: Now subtract 200 from 200: \[ 200 - 200 = 0 \]

Since the remainder is now 0, the division is complete, and we find:

\[ \frac{27}{50} = 0.54 \]

So the answer is 0.54.