What is 180(24/11-2) ?

The solution to 180(24/11-2) is 32 8/11

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Popular Pre Algebra >

180(24/11-2)

Solution

180 (\frac{24}{11} - 2)

Solution

32 \frac{8}{11}

Decimal

32.72727 \dots

Solution steps

180 (\frac{24}{11} - 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{24}{11} - 2) : \frac{2}{11}

\frac{24}{11} - 2

\frac{24}{11} - 2 = \frac{2}{11}

\frac{24}{11} - 2

Convert element to fraction:

2 = \frac{2 \cdot 11}{11}

= - \frac{2 \cdot 11}{11} + \frac{24}{11}

Since the denominators are equal, combine the fractions:

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

= \frac{- 2 \cdot 11 + 24}{11}

- 2 \cdot 11 + 24 = 2

- 2 \cdot 11 + 24

Multiply the numbers:

2 \cdot 11 = 22

= - 22 + 24

Add/Subtract the numbers:

- 22 + 24 = 2

= 2

= \frac{2}{11}

= \frac{2}{11}

= 180 \cdot \frac{2}{11}

Multiply and divide (left to right)

180 \cdot \frac{2}{11} : \frac{360}{11}

180 \cdot \frac{2}{11}

Convert element to fraction:

180 = \frac{180}{1}

= \frac{180}{1} \cdot \frac{2}{11}

Apply the fraction rule:

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

= \frac{180 \cdot 2}{1 \cdot 11}

Multiply the numbers:

180 \cdot 2 = 360

= \frac{360}{1 \cdot 11}

Multiply the numbers:

1 \cdot 11 = 11

= \frac{360}{11}

= \frac{360}{11}

Convert improper fractions to mixed numbers:

\frac{360}{11} = 32 \frac{8}{11}

\frac{360}{11} = 32

Remainder

8

\frac{360}{11}

Write the problem in long division format

11 \overline{∣ 360}

Divide

36

11

to get

3

Divide

36

11

to get

3

3 11 \overline{∣ 360}

Multiply the quotient digit

(3)

by the divisor

11

3 11 \overline{∣ 360} \underline{33}

Subtract

33

from

36

3 11 \overline{∣ 360} \underline{33} 3

Bring down the next number of the dividend

3 11 \overline{∣ 360} \underline{33} 30

3 11 \overline{∣ 360} \underline{33} 30

Divide

30

11

to get

2

Divide

30

11

to get

2

32 11 \overline{∣ 360} \underline{33} 30

Multiply the quotient digit

(2)

by the divisor

11

32 11 \overline{∣ 360} \underline{33} 30 \underline{22}

Subtract

22

from

30

32 11 \overline{∣ 360} \underline{33} 30 \underline{22} 8

32 11 \overline{∣ 360} \underline{33} 30 \underline{22} 8

The solution for Long Division of

\frac{360}{11}

32

with remainder of

8

32 Remainder 8

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{360}{11} = 32 \frac{8}{11}

= 32 \frac{8}{11}

= 32 \frac{8}{11}

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Frequently Asked Questions (FAQ)

What is 180(24/11-2) ?
The solution to 180(24/11-2) is 32 8/11

180(24/11-2)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 180(24/11-2) ?

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