The solution to 5\div 4/9 is 45/4

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5\div 4/9

Solution

5 \div \frac{4}{9}

\frac{45}{4}

Solution steps

5 \div \frac{4}{9}

Convert element to fraction:

5 = \frac{5}{1}

= \frac{5}{1} \div \frac{4}{9}

Apply the fraction rule:

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

= \frac{5}{1} \times \frac{9}{4}

Multiply fractions:

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

= \frac{5 \times 9}{1 \times 4}

Multiply the numbers:

5 \times 9 = 45

= \frac{45}{1 \times 4}

Multiply the numbers:

1 \times 4 = 4

= \frac{45}{4}

\frac{9}{4} + 3

3 (2 a - b) - 4 (b - 2 a)

b^{- 1}

∣ - 7 ∣ - ∣ 7 ∣

- \cdot (- 2)