What is 10\div 3 3/4 ?

The solution to 10\div 3 3/4 is 2 2/3

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10\div 3 3/4

10 \div 3 \frac{3}{4}

2 \frac{2}{3}

Solution steps

10 \div 3 \frac{3}{4}

Convert mixed numbers to improper fractions:

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

= 10 \div \frac{15}{4}

Convert element to fraction:

10 = \frac{10}{1}

= \frac{10}{1} \div \frac{15}{4}

Apply the fraction rule:

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

= \frac{10}{1} \times \frac{4}{15}

Cross-cancel common factor:

5

= \frac{2}{1} \times \frac{4}{3}

Multiply fractions:

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

= \frac{2 \times 4}{1 \times 3}

Multiply the numbers:

2 \times 4 = 8

= \frac{8}{1 \times 3}

Multiply the numbers:

1 \times 3 = 3

= \frac{8}{3}

Convert improper fractions to mixed numbers:

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

= 2 \frac{2}{3}

\frac{7}{6} - \frac{3}{4}

(- 2 x + 8) (6 x + 4)

12 x^{2} - 23 x + 5

11 \times 5

2 + 49 - 325