What is (-1 1/3)\div (1-1/5) ?

The solution to (-1 1/3)\div (1-1/5) is -5/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(-1 1/3)\div (1-1/5)

(- 1 \frac{1}{3}) \div (1 - \frac{1}{5})

- \frac{5}{3}

Solution steps

(- 1 \frac{1}{3}) \div (1 - \frac{1}{5})

Convert mixed numbers to improper fractions:

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

1 \frac{1}{3}

Convert mixed numbers to improper fraction:

a \frac{b}{c} = \frac{a \cdot c + b}{c}

1 \frac{1}{3} = \frac{1 \cdot 3 + 1}{3}

= \frac{4}{3}

= (- \frac{4}{3}) \div (1 - \frac{1}{5})

Follow the PEMDAS order of operations

Calculate within parentheses

(1 - \frac{1}{5}) : \frac{4}{5}

1 - \frac{1}{5}

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

1 - \frac{1}{5}

Convert element to fraction:

1 = \frac{1 \cdot 5}{5}

= \frac{1 \cdot 5}{5} - \frac{1}{5}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{1 \cdot 5 - 1}{5}

1 \cdot 5 - 1 = 4

1 \cdot 5 - 1

Multiply the numbers:

1 \cdot 5 = 5

= 5 - 1

Subtract the numbers:

5 - 1 = 4

= 4

= \frac{4}{5}

= \frac{4}{5}

= (- \frac{4}{3}) \div \frac{4}{5}

Multiply and divide (left to right)

(- \frac{4}{3}) \div \frac{4}{5} : - \frac{5}{3}

(- \frac{4}{3}) \div \frac{4}{5}

Apply rule

(- a) \div b = - a \div b

(- \frac{4}{3}) \div \frac{4}{5} = - \frac{4}{3} \div \frac{4}{5}

Apply the fraction rule:

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

= - \frac{4}{3} \cdot \frac{5}{4}

Cross-cancel:

4

= - \frac{5}{3}

= - \frac{5}{3}

12 - [2 + (- 4 - 3) - (- 4 + 2)] + 4

3 9^{2} - 3 6^{2}

- 1 \times (- 1) \times (- 1)

(12 - 2) 180

1 0^{3} - 1 0^{2}