What is 72/8+3-4(2/9)-8+6+4 ?

The solution to 72/8+3-4(2/9)-8+6+4 is 13 1/9

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Popular Pre Algebra >

72/8+3-4(2/9)-8+6+4

Solution

\frac{72}{8} + 3 - 4 (\frac{2}{9}) - 8 + 6 + 4

Solution

13 \frac{1}{9}

Decimal

13.11111 \dots

Solution steps

\frac{72}{8} + 3 - 4 (\frac{2}{9}) - 8 + 6 + 4

\frac{72}{8} = 9

Divide the numbers:

\frac{72}{8} = 9

9

= 9 + 3 - 4 \cdot \frac{2}{9} - 8 + 6 + 4

Follow the PEMDAS order of operations

Multiply and divide (left to right)

4 \cdot \frac{2}{9} : \frac{8}{9}

4 \cdot \frac{2}{9}

Convert element to fraction:

4 = \frac{4}{1}

= \frac{4}{1} \cdot \frac{2}{9}

Apply the fraction rule:

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

= \frac{4 \cdot 2}{1 \cdot 9}

Multiply the numbers:

4 \cdot 2 = 8

= \frac{8}{1 \cdot 9}

Multiply the numbers:

1 \cdot 9 = 9

= \frac{8}{9}

= 9 + 3 - \frac{8}{9} - 8 + 6 + 4

Add and subtract (left to right)

9 + 3 - \frac{8}{9} - 8 + 6 + 4 : \frac{118}{9}

9 + 3 - \frac{8}{9} - 8 + 6 + 4

9 + 3 = 12

= 12 - \frac{8}{9} - 8 + 6 + 4

12 - \frac{8}{9} = \frac{100}{9}

12 - \frac{8}{9}

Convert element to fraction:

12 = \frac{12 \cdot 9}{9}

= \frac{12 \cdot 9}{9} - \frac{8}{9}

Since the denominators are equal, combine the fractions:

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

= \frac{12 \cdot 9 - 8}{9}

12 \cdot 9 - 8 = 100

12 \cdot 9 - 8

Multiply the numbers:

12 \cdot 9 = 108

= 108 - 8

Subtract the numbers:

108 - 8 = 100

= 100

= \frac{100}{9}

= \frac{100}{9} - 8 + 6 + 4

\frac{100}{9} - 8 = \frac{28}{9}

\frac{100}{9} - 8

Convert element to fraction:

8 = \frac{8 \cdot 9}{9}

= - \frac{8 \cdot 9}{9} + \frac{100}{9}

Since the denominators are equal, combine the fractions:

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

= \frac{- 8 \cdot 9 + 100}{9}

- 8 \cdot 9 + 100 = 28

- 8 \cdot 9 + 100

Multiply the numbers:

8 \cdot 9 = 72

= - 72 + 100

Add/Subtract the numbers:

- 72 + 100 = 28

= 28

= \frac{28}{9}

= \frac{28}{9} + 6 + 4

\frac{28}{9} + 6 = \frac{82}{9}

\frac{28}{9} + 6

Convert element to fraction:

6 = \frac{6 \cdot 9}{9}

= \frac{6 \cdot 9}{9} + \frac{28}{9}

Since the denominators are equal, combine the fractions:

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

= \frac{6 \cdot 9 + 28}{9}

6 \cdot 9 + 28 = 82

6 \cdot 9 + 28

Multiply the numbers:

6 \cdot 9 = 54

= 54 + 28

Add the numbers:

54 + 28 = 82

= 82

= \frac{82}{9}

= \frac{82}{9} + 4

\frac{82}{9} + 4 = \frac{118}{9}

\frac{82}{9} + 4

Convert element to fraction:

4 = \frac{4 \cdot 9}{9}

= \frac{4 \cdot 9}{9} + \frac{82}{9}

Since the denominators are equal, combine the fractions:

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

= \frac{4 \cdot 9 + 82}{9}

4 \cdot 9 + 82 = 118

4 \cdot 9 + 82

Multiply the numbers:

4 \cdot 9 = 36

= 36 + 82

Add the numbers:

36 + 82 = 118

= 118

= \frac{118}{9}

= \frac{118}{9}

= \frac{118}{9}

Convert improper fractions to mixed numbers:

\frac{118}{9} = 13 \frac{1}{9}

\frac{118}{9} = 13

Remainder

1

\frac{118}{9}

Write the problem in long division format

9 \overline{∣ 118}

Divide

11

9

to get

1

Divide

11

9

to get

1

1 9 \overline{∣ 118}

Multiply the quotient digit

(1)

by the divisor

9

1 9 \overline{∣ 118} \underline{9}

Subtract

9

from

11

1 9 \overline{∣ 118} \underline{9} 2

Bring down the next number of the dividend

1 9 \overline{∣ 118} \underline{9} 28

1 9 \overline{∣ 118} \underline{9} 28

Divide

28

9

to get

3

Divide

28

9

to get

3

13 9 \overline{∣ 118} \underline{9} 28

Multiply the quotient digit

(3)

by the divisor

9

13 9 \overline{∣ 118} \underline{9} 28 \underline{27}

Subtract

27

from

28

13 9 \overline{∣ 118} \underline{9} 28 \underline{27} 1

13 9 \overline{∣ 118} \underline{9} 28 \underline{27} 1

The solution for Long Division of

\frac{118}{9}

13

with remainder of

1

13 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{118}{9} = 13 \frac{1}{9}

= 13 \frac{1}{9}

= 13 \frac{1}{9}

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Frequently Asked Questions (FAQ)

What is 72/8+3-4(2/9)-8+6+4 ?
The solution to 72/8+3-4(2/9)-8+6+4 is 13 1/9

72/8+3-4(2/9)-8+6+4

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 72/8+3-4(2/9)-8+6+4 ?

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