What is 75-5× 6+4-2\div 9-5× 6 ?

The solution to 75-5× 6+4-2\div 9-5× 6 is 18 7/9

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Popular Pre Algebra >

75-5× 6+4-2\div 9-5× 6

Solution

75 - 5 \times 6 + 4 - 2 \div 9 - 5 \times 6

Solution

18 \frac{7}{9}

Decimal

18.77777 \dots

Solution steps

75 - 5 \times 6 + 4 - 2 \div 9 - 5 \times 6

Follow the PEMDAS order of operations

Multiply and divide (left to right)

5 \times 6 : 30

5 \times 6

5 \times 6 = 30

= 30

= 75 - 30 + 4 - 2 \div 9 - 5 \times 6

Multiply and divide (left to right)

2 \div 9 : \frac{2}{9}

2 \div 9

2 \div 9 = \frac{2}{9}

= \frac{2}{9}

= 75 - 30 + 4 - \frac{2}{9} - 5 \times 6

Multiply and divide (left to right)

5 \times 6 : 30

5 \times 6

5 \times 6 = 30

= 30

= 75 - 30 + 4 - \frac{2}{9} - 30

Add and subtract (left to right)

75 - 30 + 4 - \frac{2}{9} - 30 : \frac{169}{9}

75 - 30 + 4 - \frac{2}{9} - 30

75 - 30 = 45

= 45 + 4 - \frac{2}{9} - 30

45 + 4 = 49

= 49 - \frac{2}{9} - 30

49 - \frac{2}{9} = \frac{439}{9}

49 - \frac{2}{9}

Convert element to fraction:

49 = \frac{49 \cdot 9}{9}

= \frac{49 \cdot 9}{9} - \frac{2}{9}

Since the denominators are equal, combine the fractions:

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

= \frac{49 \cdot 9 - 2}{9}

49 \cdot 9 - 2 = 439

49 \cdot 9 - 2

Multiply the numbers:

49 \cdot 9 = 441

= 441 - 2

Subtract the numbers:

441 - 2 = 439

= 439

= \frac{439}{9}

= \frac{439}{9} - 30

\frac{439}{9} - 30 = \frac{169}{9}

\frac{439}{9} - 30

Convert element to fraction:

30 = \frac{30 \cdot 9}{9}

= - \frac{30 \cdot 9}{9} + \frac{439}{9}

Since the denominators are equal, combine the fractions:

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

= \frac{- 30 \cdot 9 + 439}{9}

- 30 \cdot 9 + 439 = 169

- 30 \cdot 9 + 439

Multiply the numbers:

30 \cdot 9 = 270

= - 270 + 439

Add/Subtract the numbers:

- 270 + 439 = 169

= 169

= \frac{169}{9}

= \frac{169}{9}

= \frac{169}{9}

Convert improper fractions to mixed numbers:

\frac{169}{9} = 18 \frac{7}{9}

\frac{169}{9} = 18

Remainder

7

\frac{169}{9}

Write the problem in long division format

9 \overline{∣ 169}

Divide

16

9

to get

1

Divide

16

9

to get

1

1 9 \overline{∣ 169}

Multiply the quotient digit

(1)

by the divisor

9

1 9 \overline{∣ 169} \underline{9}

Subtract

9

from

16

1 9 \overline{∣ 169} \underline{9} 7

Bring down the next number of the dividend

1 9 \overline{∣ 169} \underline{9} 79

1 9 \overline{∣ 169} \underline{9} 79

Divide

79

9

to get

8

Divide

79

9

to get

8

18 9 \overline{∣ 169} \underline{9} 79

Multiply the quotient digit

(8)

by the divisor

9

18 9 \overline{∣ 169} \underline{9} 79 \underline{72}

Subtract

72

from

79

18 9 \overline{∣ 169} \underline{9} 79 \underline{72} 7

18 9 \overline{∣ 169} \underline{9} 79 \underline{72} 7

The solution for Long Division of

\frac{169}{9}

18

with remainder of

7

18 Remainder 7

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{169}{9} = 18 \frac{7}{9}

= 18 \frac{7}{9}

= 18 \frac{7}{9}

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Frequently Asked Questions (FAQ)

What is 75-5× 6+4-2\div 9-5× 6 ?
The solution to 75-5× 6+4-2\div 9-5× 6 is 18 7/9

75-5× 6+4-2\div 9-5× 6

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 75-5× 6+4-2\div 9-5× 6 ?

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