Convert 38/7 into a mixed number.
Understand the Problem
The question is asking to convert the improper fraction 38/7 into a mixed number format, which involves determining how many whole numbers fit into the numerator and what the remainder is.
Answer
The mixed number form of the improper fraction $\frac{38}{7}$ is $5 \frac{3}{7}$.
Answer for screen readers
The mixed number form of the improper fraction $\frac{38}{7}$ is $5 \frac{3}{7}$.
Steps to Solve
- Determine the Whole Number Part
To convert the improper fraction into a mixed number, find the whole number part by dividing the numerator (38) by the denominator (7).
Calculate: $$ 38 \div 7 = 5 $$
This means there are 5 whole numbers in the fraction.
- Find the Remainder
Next, we need to find the remainder of the division.
To find the remainder, calculate: $$ 38 - (7 \times 5) = 38 - 35 = 3 $$
Thus, the remainder is 3.
- Write as a Mixed Number
Now we can express the result as a mixed number. Combine the whole number part with the remainder over the original denominator.
The mixed number is: $$ 5 \frac{3}{7} $$
The mixed number form of the improper fraction $\frac{38}{7}$ is $5 \frac{3}{7}$.
More Information
Mixed numbers combine whole numbers and fractions, which can often make understanding and working with fractions easier. In this case, converting $\frac{38}{7}$ into $5 \frac{3}{7}$ gives us a clearer sense of quantity.
Tips
- A common mistake is to forget to correctly manage the remainder when converting. Ensure you always subtract the product of the whole number and the denominator from the numerator to find the correct remainder.
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