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

Convert 75 \frac{7}{5} into a mixed number.

Full solution

Q. Convert 75 \frac{7}{5} into a mixed number.
  1. Check Numerator vs Denominator: Determine if the numerator is larger than the denominator.\newlineIn the fraction 75\frac{7}{5}, the numerator (77) is larger than the denominator (55), which means the fraction is an improper fraction and can be converted into a mixed number.
  2. Divide for Whole Number: Divide the numerator by the denominator to find the whole number part of the mixed number.\newlineDividing 77 by 55 gives us 11 with a remainder of 22.\newline7÷5=1 R27 \div 5 = 1 \text{ R}2
  3. Write Whole Number: Write down the whole number part of the mixed number.\newlineThe whole number part of the mixed number is 11.
  4. Find Fractional Part: Write the remainder over the original denominator to find the fractional part of the mixed number.\newlineThe remainder is 22, and the original denominator is 55, so the fractional part of the mixed number is 25\frac{2}{5}.
  5. Combine for Mixed Number: Combine the whole number part and the fractional part to form the mixed number.\newlineThe mixed number is 11 whole and 25\frac{2}{5} as the fractional part, so the mixed number is 125.1\frac{2}{5}.

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