Convert 57/8 into a mixed number.
Understand the Problem
The question is asking for the fraction 57/8 to be converted into a mixed number. This involves dividing the numerator by the denominator to find the whole number part, then expressing any remainder as a fraction.
Answer
$7 \frac{1}{8}$
Answer for screen readers
The mixed number for the fraction $\frac{57}{8}$ is $7 \frac{1}{8}$.
Steps to Solve
- Divide the numerator by the denominator
To convert the fraction $\frac{57}{8}$ into a mixed number, divide 57 by 8. $$ 57 \div 8 = 7 \quad \text{(the quotient)} $$ This tells us that there are 7 whole parts.
- Calculate the remainder
Next, calculate the remainder from the division. $$ 57 - (8 \cdot 7) = 57 - 56 = 1 $$ So the remainder is 1.
- Write the mixed number
Combine the whole number part and the fractional part. The remainder becomes the numerator of the fraction, while the denominator remains the same. So, the mixed number is: $$ 7 \frac{1}{8} $$
The mixed number for the fraction $\frac{57}{8}$ is $7 \frac{1}{8}$.
More Information
When you convert improper fractions to mixed numbers, you can easily visualize the value in terms of whole units and the leftover part. It's a useful skill in everyday calculations.
Tips
- Miscalculating the remainder: Make sure to subtract the correct product of the whole number part and the denominator from the numerator.
- Not converting the remainder correctly: Ensure that the remainder is expressed as a fraction with the same denominator when making the mixed number.
