What is 6 1/4 \div 4 1/2 ?

The solution to 6 1/4 \div 4 1/2 is 1 7/18

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6 1/4 \div 4 1/2

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

1 \frac{7}{18}

Solution steps

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

Convert mixed numbers to improper fractions:

6 \frac{1}{4} = \frac{25}{4}

= \frac{25}{4} \div 4 \frac{1}{2}

Convert mixed numbers to improper fractions:

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

= \frac{25}{4} \div \frac{9}{2}

Apply the fraction rule:

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

= \frac{25}{4} \times \frac{2}{9}

Cross-cancel common factor:

2

= \frac{25}{2} \times \frac{1}{9}

Multiply fractions:

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

= \frac{25 \times 1}{2 \times 9}

Multiply the numbers:

25 \times 1 = 25

= \frac{25}{2 \times 9}

Multiply the numbers:

2 \times 9 = 18

= \frac{25}{18}

Convert improper fractions to mixed numbers:

\frac{25}{18} = 1 \frac{7}{18}

= 1 \frac{7}{18}

28 x^{6} y^{9}

(x - 25)^{2}

x^{4} y - x y^{4}

x^{4} y^{3} + y

\frac{( 1 + x ) ^{2} - 1}{x}