What is 5 5/8 \div 3 3/4 ?

The solution to 5 5/8 \div 3 3/4 is 1 1/2

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5 5/8 \div 3 3/4

5 \frac{5}{8} \div 3 \frac{3}{4}

1 \frac{1}{2}

Solution steps

5 \frac{5}{8} \div 3 \frac{3}{4}

Convert mixed numbers to improper fractions:

5 \frac{5}{8} = \frac{45}{8}

= \frac{45}{8} \div 3 \frac{3}{4}

Convert mixed numbers to improper fractions:

3 \frac{3}{4} = \frac{15}{4}

= \frac{45}{8} \div \frac{15}{4}

Apply the fraction rule:

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

= \frac{45}{8} \times \frac{4}{15}

Multiply fractions:

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

= \frac{45 \times 4}{8 \times 15}

Multiply the numbers:

45 \times 4 = 180

= \frac{180}{8 \times 15}

Multiply the numbers:

8 \times 15 = 120

= \frac{180}{120}

Cancel the common factor:

60

= \frac{3}{2}

Convert improper fractions to mixed numbers:

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

= 1 \frac{1}{2}

(4 x + 1) (2 x - 3)

10 q (16 x + 11)

\frac{7}{( - \frac{5}{x} ) ^{2} - 3}

2^{8} \cdot 2^{5}