What is 36\div 7+5-12 ?

The solution to 36\div 7+5-12 is -13/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

36\div 7+5-12

36 \div 7 + 5 - 12

- \frac{13}{7}

Solution steps

36 \div 7 + 5 - 12

Follow the PEMDAS order of operations

Multiply and divide (left to right)

36 \div 7 : \frac{36}{7}

36 \div 7

36 \div 7 = \frac{36}{7}

= \frac{36}{7}

= \frac{36}{7} + 5 - 12

Add and subtract (left to right)

\frac{36}{7} + 5 - 12 : - \frac{13}{7}

\frac{36}{7} + 5 - 12

\frac{36}{7} + 5 = \frac{71}{7}

\frac{36}{7} + 5

Convert element to fraction:

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

= \frac{5 \cdot 7}{7} + \frac{36}{7}

Since the denominators are equal, combine the fractions:

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

= \frac{5 \cdot 7 + 36}{7}

5 \cdot 7 + 36 = 71

5 \cdot 7 + 36

Multiply the numbers:

5 \cdot 7 = 35

= 35 + 36

Add the numbers:

35 + 36 = 71

= 71

= \frac{71}{7}

= \frac{71}{7} - 12

\frac{71}{7} - 12 = - \frac{13}{7}

\frac{71}{7} - 12

Convert element to fraction:

12 = \frac{12 \cdot 7}{7}

= - \frac{12 \cdot 7}{7} + \frac{71}{7}

Since the denominators are equal, combine the fractions:

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

= \frac{- 12 \cdot 7 + 71}{7}

- 12 \cdot 7 + 71 = - 13

- 12 \cdot 7 + 71

Multiply the numbers:

12 \cdot 7 = 84

= - 84 + 71

Add/Subtract the numbers:

- 84 + 71 = - 13

= - 13

= \frac{- 13}{7}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{13}{7}

= - \frac{13}{7}

= - \frac{13}{7}

2^{1} - 1

19 + 15 - 18 - 10 + 4 - 7 + 9

12 - (2^{2} - 1 0^{2} \div 5) + (- 6)^{2} \div 4

\frac{3}{2} (6) - 3 + \frac{5}{3} (3)

\frac{4 ^{2} - 16}{4 - 4}