What is 3 1/2 \div 2 1/4 ?

The solution to 3 1/2 \div 2 1/4 is 1 5/9

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3 1/2 \div 2 1/4

3 \frac{1}{2} \div 2 \frac{1}{4}

1 \frac{5}{9}

Solution steps

3 \frac{1}{2} \div 2 \frac{1}{4}

Convert mixed numbers to improper fractions:

3 \frac{1}{2} = \frac{7}{2}

= \frac{7}{2} \div 2 \frac{1}{4}

Convert mixed numbers to improper fractions:

2 \frac{1}{4} = \frac{9}{4}

= \frac{7}{2} \div \frac{9}{4}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{7}{2} \times \frac{4}{9}

Cross-cancel common factor:

2

= \frac{7}{1} \times \frac{2}{9}

Multiply fractions:

\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}

= \frac{7 \times 2}{1 \times 9}

Multiply the numbers:

7 \times 2 = 14

= \frac{14}{1 \times 9}

Multiply the numbers:

1 \times 9 = 9

= \frac{14}{9}

Convert improper fractions to mixed numbers:

\frac{14}{9} = 1 \frac{5}{9}

= 1 \frac{5}{9}

6 (912)

\frac{1 - \frac{1}{x}}{1 + \frac{1}{x}}

\frac{16}{3} + 4

\frac{x}{2} + 2 x

- x^{2} - 4 x - 7