What is 5/9 (75-32) ?

The solution to 5/9 (75-32) is 23 8/9

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Popular >

5/9 (75-32)

Solution

\frac{5}{9} (75 - 32)

Solution

23 \frac{8}{9}

Solution steps

\frac{5}{9} (75 - 32)

Follow the PEMDAS order of operations

Calculate within parentheses

(75 - 32) : 43

75 - 32

75 - 32 = 43

= 43

= \frac{5}{9} \cdot 43

Multiply and divide (left to right)

\frac{5}{9} \cdot 43 : \frac{215}{9}

\frac{5}{9} \cdot 43

Convert element to fraction:

43 = \frac{43}{1}

= \frac{5}{9} \cdot \frac{43}{1}

Apply the fraction rule:

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

= \frac{5 \cdot 43}{9 \cdot 1}

Multiply the numbers:

5 \cdot 43 = 215

= \frac{215}{9 \cdot 1}

Multiply the numbers:

9 \cdot 1 = 9

= \frac{215}{9}

= \frac{215}{9}

Convert improper fractions to mixed numbers:

\frac{215}{9} = 23 \frac{8}{9}

\frac{215}{9} = 23

Remainder

8

\frac{215}{9}

Write the problem in long division format

9 \overline{∣ 215}

Divide

21

9

to get

2

Divide

21

9

to get

2

2 9 \overline{∣ 215}

Multiply the quotient digit

(2)

by the divisor

9

2 9 \overline{∣ 215} \underline{18}

Subtract

18

from

21

2 9 \overline{∣ 215} \underline{18} 3

Bring down the next number of the dividend

2 9 \overline{∣ 215} \underline{18} 35

2 9 \overline{∣ 215} \underline{18} 35

Divide

35

9

to get

3

Divide

35

9

to get

3

23 9 \overline{∣ 215} \underline{18} 35

Multiply the quotient digit

(3)

by the divisor

9

23 9 \overline{∣ 215} \underline{18} 35 \underline{27}

Subtract

27

from

35

23 9 \overline{∣ 215} \underline{18} 35 \underline{27} 8

23 9 \overline{∣ 215} \underline{18} 35 \underline{27} 8

The solution for Long Division of

\frac{215}{9}

23

with remainder of

8

23 Remainder 8

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{215}{9} = 23 \frac{8}{9}

= 23 \frac{8}{9}

= 23 \frac{8}{9}

Popular Examples

14-3+12-15+1-11

14 - 3 + 12 - 15 + 1 - 11

simplify-2/7 \times 3/(-9)simplify

- \frac{2}{7} \times \frac{3}{- 9}

3(0)^2-6(0)

3 (0)^{2} - 6 (0)

(6\times 28)+100

(6 \times 28) + 100

-3(-2)^2+2(-2)+2

- 3 (- 2)^{2} + 2 (- 2) + 2

Frequently Asked Questions (FAQ)

What is 5/9 (75-32) ?
The solution to 5/9 (75-32) is 23 8/9