What is 1/5 \times 5\div 1/4 ?

The solution to 1/5 \times 5\div 1/4 is 4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/5 \times 5\div 1/4

\frac{1}{5} \times 5 \div \frac{1}{4}

4

Solution steps

\frac{1}{5} \times 5 \div \frac{1}{4}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

\frac{1}{5} \cdot 5

Convert element to fraction:

5 = \frac{5}{1}

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

Cross-cancel common factor:

5

= 1

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

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

1 \div \frac{1}{4}

Convert element to fraction:

1 = \frac{1}{1}

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

Apply the fraction rule:

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

= \frac{1}{1} \cdot \frac{4}{1}

Apply rule

\frac{a}{a} = 1

\frac{1}{1} = 1

= 1 \cdot \frac{4}{1}

Apply rule

\frac{a}{1} = a

= 1 \cdot 4

Multiply the numbers:

1 \cdot 4 = 4

= 4

= 4

(12 + 4)^{2} (1 + 1)

9 \div 3 + 4 \times 6

19 - (23 + 13 - 22)

(5 - 3)^{2} - \frac{15}{3} + 4 (8 - 5)

91 - 5 \times 7 + 21 \div 3