What is 1\div 1/5+1\div 1/3 ?

The solution to 1\div 1/5+1\div 1/3 is 8

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1\div 1/5+1\div 1/3

1 \div \frac{1}{5} + 1 \div \frac{1}{3}

8

Solution steps

1 \div \frac{1}{5} + 1 \div \frac{1}{3}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

1 \div \frac{1}{5} : 5

1 \div \frac{1}{5}

Convert element to fraction:

1 = \frac{1}{1}

= \frac{1}{1} \div \frac{1}{5}

Apply the fraction rule:

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

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

Apply rule

\frac{a}{a} = 1

\frac{1}{1} = 1

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

Apply rule

\frac{a}{1} = a

= 1 \cdot 5

Multiply the numbers:

1 \cdot 5 = 5

= 5

= 5 + 1 \div \frac{1}{3}

Multiply and divide (left to right)

1 \div \frac{1}{3} : 3

1 \div \frac{1}{3}

Convert element to fraction:

1 = \frac{1}{1}

= \frac{1}{1} \div \frac{1}{3}

Apply the fraction rule:

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

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

Apply rule

\frac{a}{a} = 1

\frac{1}{1} = 1

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

Apply rule

\frac{a}{1} = a

= 1 \cdot 3

Multiply the numbers:

1 \cdot 3 = 3

= 3

= 5 + 3

Add and subtract (left to right)

5 + 3 : 8

5 + 3

5 + 3 = 8

= 8

= 8

- 12 \times 3 + 18 (- 12 \div 6 + 8)

5 (- 6) - 3 (2)

25 - \frac{1}{3}

(- 1)^{5} - (- 1)^{3}

- [12 \cdot (- 6)]