Question

of mixed mbers

1. $2\frac{2}{10} \div 6\frac{2}{3} =$
2. $2\frac{1}{4} \div 4\frac{1}{2} =$
3. $2\frac{2}{3} \div 1\frac{2}{3} =$
4. $5\frac{3}{5} \div 1\frac{2}{5} =$
5. $4\frac{2}{3} \div 3\frac{1}{2} =$

Explanation:

Problem 6: \( 2\frac{2}{10} \div 6\frac{2}{3} \)

Step 1: Convert mixed numbers to improper fractions

\( 2\frac{2}{10}=\frac{2\times10 + 2}{10}=\frac{22}{10}=\frac{11}{5} \)
\( 6\frac{2}{3}=\frac{6\times3+2}{3}=\frac{20}{3} \)

Step 2: Divide the fractions (multiply by reciprocal)

\( \frac{11}{5}\div\frac{20}{3}=\frac{11}{5}\times\frac{3}{20}=\frac{33}{100} \)

Step 1: Convert mixed numbers to improper fractions

\( 2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{9}{4} \)
\( 4\frac{1}{2}=\frac{4\times2+1}{2}=\frac{9}{2} \)

Step 2: Divide the fractions (multiply by reciprocal)

\( \frac{9}{4}\div\frac{9}{2}=\frac{9}{4}\times\frac{2}{9}=\frac{18}{36}=\frac{1}{2} \)

Step 1: Convert mixed numbers to improper fractions

\( 2\frac{2}{3}=\frac{2\times3 + 2}{3}=\frac{8}{3} \)
\( 1\frac{2}{3}=\frac{1\times3+2}{3}=\frac{5}{3} \)

Step 2: Divide the fractions (multiply by reciprocal)

\( \frac{8}{3}\div\frac{5}{3}=\frac{8}{3}\times\frac{3}{5}=\frac{24}{15}=\frac{8}{5}=1\frac{3}{5} \)

Answer:

\( \frac{33}{100} \)

Problem 7: \( 2\frac{1}{4} \div 4\frac{1}{2} \)