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

The solution to 2 1/2 \div 2 2/3 is 15/16

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2 1/2 \div 2 2/3

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

\frac{15}{16}

Solution steps

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

Convert mixed numbers to improper fractions:

2 \frac{1}{2} = \frac{5}{2}

= \frac{5}{2} \div 2 \frac{2}{3}

Convert mixed numbers to improper fractions:

2 \frac{2}{3} = \frac{8}{3}

= \frac{5}{2} \div \frac{8}{3}

Apply the fraction rule:

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

= \frac{5}{2} \times \frac{3}{8}

Multiply fractions:

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

= \frac{5 \times 3}{2 \times 8}

Multiply the numbers:

5 \times 3 = 15

= \frac{15}{2 \times 8}

Multiply the numbers:

2 \times 8 = 16

= \frac{15}{16}

32 x^{4} y^{5}

(12 x + 15) (12 x - 15)

(3 x^{2} - 9 y^{6})^{2}

9 x^{2} + 4 x - 4 x^{2} - 7

(5 x^{2} y - 6 y)^{2}