Question
decimal expansion of the fraction 7/20
Answers
GPT-4o mini
To find the decimal expansion of the fraction \( \frac{7}{20} \), you can perform the division of 7 by 20.
Let's do the division:
1. 20 goes into 7 zero times, so we have 0.
2. Place a decimal point and add a zero to make it 70.
3. 20 goes into 70 three times (since \( 20 \times 3 = 60 \)).
4. Subtract 60 from 70, which gives us 10.
5. Bring down another zero to make it 100.
6. 20 goes into 100 five times (since \( 20 \times 5 = 100 \)).
7. Subtract 100 from 100, which gives us 0.
Since the division is complete, the decimal expansion of \( \frac{7}{20} \) is:
\[
0.35
\]
Thus, the decimal expansion of \( \frac{7}{20} \) is \( 0.35 \).
Let's do the division:
1. 20 goes into 7 zero times, so we have 0.
2. Place a decimal point and add a zero to make it 70.
3. 20 goes into 70 three times (since \( 20 \times 3 = 60 \)).
4. Subtract 60 from 70, which gives us 10.
5. Bring down another zero to make it 100.
6. 20 goes into 100 five times (since \( 20 \times 5 = 100 \)).
7. Subtract 100 from 100, which gives us 0.
Since the division is complete, the decimal expansion of \( \frac{7}{20} \) is:
\[
0.35
\]
Thus, the decimal expansion of \( \frac{7}{20} \) is \( 0.35 \).