What is 5(-16\div 21-13)-3(-7+15) ?

The solution to 5(-16\div 21-13)-3(-7+15) is -1949/21

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Popular >

5(-16\div 21-13)-3(-7+15)

Solution

5 (- 16 \div 21 - 13) - 3 (- 7 + 15)

Solution

- \frac{1949}{21}

Solution steps

5 (- 16 \div 21 - 13) - 3 (- 7 + 15)

Follow the PEMDAS order of operations

Calculate within parentheses

(- 16 \div 21 - 13) : - \frac{289}{21}

- 16 \div 21 - 13

Multiply and divide (left to right)

- 16 \div 21 : \frac{- 16}{21}

- 16 \div 21

- 16 \div 21 = \frac{- 16}{21}

= \frac{- 16}{21}

= \frac{- 16}{21} - 13

Add and subtract (left to right)

\frac{- 16}{21} - 13 : - \frac{289}{21}

\frac{- 16}{21} - 13

\frac{- 16}{21} - 13 = - \frac{289}{21}

\frac{- 16}{21} - 13

Apply the fraction rule:

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

= - \frac{16}{21} - 13

Convert element to fraction:

13 = \frac{13 \cdot 21}{21}

= - \frac{13 \cdot 21}{21} - \frac{16}{21}

Since the denominators are equal, combine the fractions:

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

= \frac{- 13 \cdot 21 - 16}{21}

- 13 \cdot 21 - 16 = - 289

- 13 \cdot 21 - 16

Multiply the numbers:

13 \cdot 21 = 273

= - 273 - 16

Subtract the numbers:

- 273 - 16 = - 289

= - 289

= \frac{- 289}{21}

Apply the fraction rule:

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

= - \frac{289}{21}

= - \frac{289}{21}

= - \frac{289}{21}

= 5 (- \frac{289}{21}) - 3 (- 7 + 15)

Calculate within parentheses

(- 7 + 15) : 8

- 7 + 15

- 7 + 15 = 8

= 8

= 5 (- \frac{289}{21}) - 3 \cdot 8

Multiply and divide (left to right)

5 (- \frac{289}{21}) : - \frac{1445}{21}

5 (- \frac{289}{21})

Apply rule

a \cdot (- b) = - a \cdot b

5 (- \frac{289}{21}) = - 5 \cdot \frac{289}{21}

Convert element to fraction:

5 = \frac{5}{1}

= - \frac{5}{1} \cdot \frac{289}{21}

Apply the fraction rule:

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

\frac{5}{1} \cdot \frac{289}{21} = \frac{5 \cdot 289}{1 \cdot 21}

= - \frac{5 \cdot 289}{1 \cdot 21}

Multiply the numbers:

5 \cdot 289 = 1445

= - \frac{1445}{1 \cdot 21}

Multiply the numbers:

1 \cdot 21 = 21

= - \frac{1445}{21}

= - \frac{1445}{21} - 3 \cdot 8

Multiply and divide (left to right)

3 \cdot 8 : 24

3 \cdot 8

3 \cdot 8 = 24

= 24

= - \frac{1445}{21} - 24

Add and subtract (left to right)

- \frac{1445}{21} - 24 : - \frac{1949}{21}

- \frac{1445}{21} - 24

- \frac{1445}{21} - 24 = - \frac{1949}{21}

- \frac{1445}{21} - 24

Convert element to fraction:

24 = \frac{24 \cdot 21}{21}

= - \frac{24 \cdot 21}{21} - \frac{1445}{21}

Since the denominators are equal, combine the fractions:

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

= \frac{- 24 \cdot 21 - 1445}{21}

- 24 \cdot 21 - 1445 = - 1949

- 24 \cdot 21 - 1445

Multiply the numbers:

24 \cdot 21 = 504

= - 504 - 1445

Subtract the numbers:

- 504 - 1445 = - 1949

= - 1949

= \frac{- 1949}{21}

Apply the fraction rule:

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

= - \frac{1949}{21}

= - \frac{1949}{21}

= - \frac{1949}{21}

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Frequently Asked Questions (FAQ)

What is 5(-16\div 21-13)-3(-7+15) ?
The solution to 5(-16\div 21-13)-3(-7+15) is -1949/21