Multiply the mixed number 2 1/3 by 5.

Multiply the mixed number $2 \frac{1}{3}$ by 5.

medium 2 marks Class 7 · Mathematics · Fractions and Decimals

Answer

11\ \frac{2}{3}

The correct answer is 11\ \frac{2}{3} — Thus the product is $11 \frac{2}{3}$ .

Convert the mixed number to an improper fraction: $2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{7}{3}$ .
Multiply the improper fraction by 5: $\frac{7}{3} \times 5 = \frac{35}{3}$ .
Divide 35 by 3 to obtain the mixed number: $35 \div 3 = 11$ remainder 2, so $\frac{35}{3} = 11 \frac{2}{3}$ .
Thus the product is $11 \frac{2}{3}$ .

Common mistake: Failing to convert to improper fraction before multiplication

Concept tested: Multiplying mixed numbers