Convert (8)/(5) into a mixed number.

Check Numerator Size: Determine if the numerator is larger than the denominator. Since 8 is larger than 5, we can convert (8)/(5) into a mixed number.Find Whole Number: Divide the numerator by the denominator to find the whole number part of the mixed number. 8 ÷ 5 = 1 with a remainder of 3.Write Whole Number: Write down the whole number part of the mixed number. The whole number part is 1.Determine Fractional Part: Write the remainder over the original denominator to find the fractional part of the mixed number. The remainder is 3, and the original denominator is 5, so the fractional part is 3/5.Combine Mixed Number: Combine the whole number part and the fractional part to form the mixed number. The mixed number is 1 3/5.

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Math Problems

Grade 7

Convert between mixed numbers and improper fractions

Full solution

Q. Convert

\frac{8}{5}

into a mixed number.

Check Numerator Size: Determine if the numerator is larger than the denominator. $\newline$ Since $8$ is larger than $5$ , we can convert $(8)/(5)$ into a mixed number.
Find Whole Number: Divide the numerator by the denominator to find the whole number part of the mixed number. $\newline$ $8 \div 5 = 1$ with a remainder of $3$ .
Write Whole Number: Write down the whole number part of the mixed number. $\newline$ The whole number part is $1$ .
Determine Fractional Part: Write the remainder over the original denominator to find the fractional part of the mixed number. $\newline$ The remainder is $3$ , and the original denominator is $5$ , so the fractional part is $\frac{3}{5}$ .
Combine Mixed Number: Combine the whole number part and the fractional part to form the mixed number. $\newline$ The mixed number is $1\frac{3}{5}$ .