What is -3 1/2 \div 1 1/4 ?

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

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-3 1/2 \div 1 1/4

- 3 \frac{1}{2} \div 1 \frac{1}{4}

- 2 \frac{4}{5}

Solution steps

- 3 \frac{1}{2} \div 1 \frac{1}{4}

Convert mixed numbers to improper fractions:

3 \frac{1}{2} = \frac{7}{2}

= - \frac{7}{2} \div 1 \frac{1}{4}

Convert mixed numbers to improper fractions:

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

= - \frac{7}{2} \div \frac{5}{4}

Apply the fraction rule:

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

= - \frac{7}{2} \times \frac{4}{5}

Cross-cancel common factor:

2

= \frac{7}{1} \times \frac{2}{5}

Multiply fractions:

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

= - \frac{7 \times 2}{1 \times 5}

Multiply the numbers:

7 \times 2 = 14

= - \frac{14}{1 \times 5}

Multiply the numbers:

1 \times 5 = 5

= - \frac{14}{5}

Convert improper fractions to mixed numbers:

\frac{14}{5} = 2 \frac{4}{5}

= - 2 \frac{4}{5}

2 y^{2} (y^{5} - 4 y)

(1 + i) (2 + 2 i) (3 - i)

(x)^{2}

(cos (x))^{2}

[cos (a t) sinh (a t)]