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

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

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2 1/2 \div 2/3

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

3 \frac{3}{4}

Solution steps

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

Convert mixed numbers to improper fractions:

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

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

Multiply fractions:

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

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

Multiply the numbers:

5 \times 3 = 15

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

Multiply the numbers:

2 \times 2 = 4

= \frac{15}{4}

Convert improper fractions to mixed numbers:

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

= 3 \frac{3}{4}

3 + (- 11)

\frac{5}{5 + i}

(3 x^{2} - 3)^{2}

x^{2} \cdot (- 3)

\frac{1}{3} + \frac{11}{27}