What is 7+3(-16/11) ?

The solution to 7+3(-16/11) is 2 7/11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

7+3(-16/11)

Solution

7 + 3 (- \frac{16}{11})

Solution

2 \frac{7}{11}

Solution steps

7 + 3 (- \frac{16}{11})

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 (- \frac{16}{11}) : - \frac{48}{11}

3 (- \frac{16}{11})

Apply rule

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

3 (- \frac{16}{11}) = - 3 \cdot \frac{16}{11}

Convert element to fraction:

3 = \frac{3}{1}

= - \frac{3}{1} \cdot \frac{16}{11}

Apply the fraction rule:

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

\frac{3}{1} \cdot \frac{16}{11} = \frac{3 \cdot 16}{1 \cdot 11}

= - \frac{3 \cdot 16}{1 \cdot 11}

Multiply the numbers:

3 \cdot 16 = 48

= - \frac{48}{1 \cdot 11}

Multiply the numbers:

1 \cdot 11 = 11

= - \frac{48}{11}

= 7 - \frac{48}{11}

Add and subtract (left to right)

7 - \frac{48}{11} : \frac{29}{11}

7 - \frac{48}{11}

7 - \frac{48}{11} = \frac{29}{11}

7 - \frac{48}{11}

Convert element to fraction:

7 = \frac{7 \cdot 11}{11}

= \frac{7 \cdot 11}{11} - \frac{48}{11}

Since the denominators are equal, combine the fractions:

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

= \frac{7 \cdot 11 - 48}{11}

7 \cdot 11 - 48 = 29

7 \cdot 11 - 48

Multiply the numbers:

7 \cdot 11 = 77

= 77 - 48

Subtract the numbers:

77 - 48 = 29

= 29

= \frac{29}{11}

= \frac{29}{11}

= \frac{29}{11}

Convert improper fractions to mixed numbers:

\frac{29}{11} = 2 \frac{7}{11}

\frac{29}{11} = 2

Remainder

7

\frac{29}{11}

Write the problem in long division format

11 \overline{∣ 29}

Divide

29

11

to get

2

Divide

29

11

to get

2

2 11 \overline{∣ 29}

Multiply the quotient digit

(2)

by the divisor

11

2 11 \overline{∣ 29} \underline{22}

Subtract

22

from

29

2 11 \overline{∣ 29} \underline{22} 7

2 11 \overline{∣ 29} \underline{22} 7

The solution for Long Division of

\frac{29}{11}

2

with remainder of

7

2 Remainder 7

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{29}{11} = 2 \frac{7}{11}

= 2 \frac{7}{11}

= 2 \frac{7}{11}

Popular Examples

2(5)-1

2 (5) - 1

-5(3)+2

- 5 (3) + 2

-5(3)+3

- 5 (3) + 3

2(5)-6

2 (5) - 6

2(5)-5

2 (5) - 5

Frequently Asked Questions (FAQ)

What is 7+3(-16/11) ?
The solution to 7+3(-16/11) is 2 7/11