Convert the fraction \frac{7}{8} to a decimal and round it to the nearest hundredth.

Step-by-step solution

1. Perform long division of 7 by 8.
2. 8 goes into 7 zero times → integer part 0; bring down a decimal point and a zero to get 70.
3. 8 goes into 70 eight times (8\times8=64) leaving remainder 6 → first decimal digit 8.
4. Multiply remainder 6 by 10 → 60; 8 goes into 60 seven times (8\times7=56) leaving remainder 4 → second decimal digit 7.
5. Continue division: 4\times10=40; 8 goes into 40 five times remainder 0 → third decimal digit 5 (and division ends).
6. The decimal representation is 0.875. Since the third decimal digit is 5, round up the second decimal digit 7 to 8.
7. Thus 0.875 rounded to the nearest hundredth is 0.88.
8. Final answer: 0.88.

Concept tested: Decimal representation and rounding

Published 16 October 2026 · How this solution was prepared and checked