What is 8-5\times 2/7 \div 5/14 ?

The solution to 8-5\times 2/7 \div 5/14 is 4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

8-5\times 2/7 \div 5/14

8 - 5 \times \frac{2}{7} \div \frac{5}{14}

4

Solution steps

8 - 5 \times \frac{2}{7} \div \frac{5}{14}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

5 \times \frac{2}{7} \div \frac{5}{14} : 4

5 \times \frac{2}{7} \div \frac{5}{14}

5 \times \frac{2}{7} = \frac{10}{7}

5 \cdot \frac{2}{7}

Convert element to fraction:

5 = \frac{5}{1}

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

Apply the fraction rule:

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

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

Multiply the numbers:

5 \cdot 2 = 10

= \frac{10}{1 \cdot 7}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{10}{7}

= \frac{10}{7} \div \frac{5}{14}

\frac{10}{7} \div \frac{5}{14} = 4

\frac{10}{7} \div \frac{5}{14}

Apply the fraction rule:

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

= \frac{10}{7} \cdot \frac{14}{5}

Multiply fractions:

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

= \frac{10 \cdot 14}{7 \cdot 5}

Multiply the numbers:

10 \cdot 14 = 140

= \frac{140}{7 \cdot 5}

Multiply the numbers:

7 \cdot 5 = 35

= \frac{140}{35}

Divide the numbers:

\frac{140}{35} = 4

= 4

= 4

= 8 - 4

Add and subtract (left to right)

8 - 4 : 4

8 - 4

8 - 4 = 4

= 4

= 4

3^{4} \cdot 4^{3}

(\frac{17}{22} + 1) + (2 - \frac{9}{11})

(- 10 + 1)^{2}

- 2 (1) + 5

5 \cdot 3^{2}