Question

1. $1\frac{1}{3} \times 2\frac{1}{8} =$ 11. $2\frac{1}{2} \times 1\frac{3}{4} =$ 13. $3\frac{1}{5} \times 5\frac{2}{3} =$ 14. $4\frac{1}{2} \times 4\frac{1}{2} =$ 16. $2\frac{2}{3} \times 5\frac{1}{4} =$ 17. $2\frac{1}{3} \times 2\frac{1}{3} =$

Explanation:

Problem 10: \(1\frac{1}{3} \times 2\frac{1}{8}\)

Step 1: Convert mixed numbers to improper fractions

\(1\frac{1}{3}=\frac{1\times3 + 1}{3}=\frac{4}{3}\)
\(2\frac{1}{8}=\frac{2\times8 + 1}{8}=\frac{17}{8}\)

Step 2: Multiply the improper fractions

\(\frac{4}{3} \times \frac{17}{8}=\frac{4\times17}{3\times8}=\frac{68}{24}\)

Step 3: Simplify the fraction

\(\frac{68}{24}=\frac{17}{6}=2\frac{5}{6}\)

Step 1: Convert mixed numbers to improper fractions

\(2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{5}{2}\)
\(1\frac{3}{4}=\frac{1\times4 + 3}{4}=\frac{7}{4}\)

Step 2: Multiply the improper fractions

\(\frac{5}{2} \times \frac{7}{4}=\frac{5\times7}{2\times4}=\frac{35}{8}=4\frac{3}{8}\)

Step 1: Convert mixed numbers to improper fractions

\(3\frac{1}{5}=\frac{3\times5 + 1}{5}=\frac{16}{5}\)
\(5\frac{2}{3}=\frac{5\times3 + 2}{3}=\frac{17}{3}\)

Step 2: Multiply the improper fractions

\(\frac{16}{5} \times \frac{17}{3}=\frac{16\times17}{5\times3}=\frac{272}{15}=18\frac{2}{15}\)

Answer:

\(2\frac{5}{6}\)

Problem 11: \(2\frac{1}{2} \times 1\frac{3}{4}\)