Convert 77/8 as a mixed number.
Understand the Problem
The question is asking to convert the improper fraction 77/8 into a mixed number format. This involves dividing the numerator by the denominator to find the whole number part and determining the remainder for the fractional part.
Answer
$9 \frac{5}{8}$
Answer for screen readers
The mixed number for the improper fraction $\frac{77}{8}$ is $9 \frac{5}{8}$.
Steps to Solve
-
Divide the Numerator by the Denominator
Start by dividing the numerator (77) by the denominator (8) to find the whole number part.
$$ 77 \div 8 = 9 $$
This means that there are 9 whole parts in the fraction. -
Determine the Remainder
Next, calculate the remainder from the division.
To find the remainder, multiply the whole number part by the denominator and subtract this from the numerator:
$$ 77 - (9 \times 8) $$
Calculating this gives:
$$ 77 - 72 = 5 $$
So, the remainder is 5. -
Construct the Mixed Number
Now, use the whole number and the remainder to write the mixed number.
The mixed number consists of the whole part plus the fraction formed by the remainder over the original denominator:
$$ 9 \frac{5}{8} $$
The mixed number for the improper fraction $\frac{77}{8}$ is $9 \frac{5}{8}$.
More Information
Converting an improper fraction to a mixed number is a common process in mathematics, making it easier to understand and work with the quantity represented by the fraction.
Tips
- Incorrectly calculating the remainder: Ensure to subtract the product of the whole number and the denominator from the numerator correctly.
- Forgetting to write the mixed number correctly: Remember to combine the whole number and the fractional part using the appropriate format.
