What is 58\div 8+(-4)× 9((-6)× 7\div (2)) ?

The solution to 58\div 8+(-4)× 9((-6)× 7\div (2)) is 763 1/4

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Popular Pre Algebra >

58\div 8+(-4)× 9((-6)× 7\div (2))

Solution

58 \div 8 + (- 4) \times 9 ((- 6) \times 7 \div (2))

Solution

763 \frac{1}{4}

Decimal

763.25

Solution steps

58 \div 8 + (- 4) \times 9 ((- 6) \times 7 \div (2))

Follow the PEMDAS order of operations

Calculate within parentheses

((- 6) \times 7 \div (2)) : \frac{- 42}{( 2 )}

(- 6) \times 7 \div (2)

Multiply and divide (left to right)

(- 6) \times 7 \div (2) : \frac{- 42}{( 2 )}

(- 6) \times 7 \div (2)

Apply rule

(- a) \times b = - a \times b

(- 6) \times 7 = - 6 \times 7 = - 42

= - 42 \div (2)

- 42 \div (2) = \frac{- 42}{( 2 )}

= \frac{- 42}{( 2 )}

= \frac{- 42}{( 2 )}

= 58 \div 8 + (- 4) \times 9 \cdot \frac{- 42}{( 2 )}

Multiply and divide (left to right)

58 \div 8 : \frac{58}{8}

58 \div 8

58 \div 8 = \frac{58}{8}

= \frac{58}{8}

= \frac{58}{8} + (- 4) \times 9 \cdot \frac{- 42}{( 2 )}

Multiply and divide (left to right)

(- 4) \times 9 \cdot \frac{- 42}{( 2 )} : - 756

(- 4) \times 9 \cdot \frac{- 42}{( 2 )}

Apply rule

(- a) \times b = - a \times b

(- 4) \times 9 = - 4 \times 9 = - 36

= - 36 \cdot \frac{- 42}{( 2 )}

36 \frac{- 42}{( 2 )} = - 756

36 \cdot \frac{- 42}{2}

Divide the numbers:

\frac{- 42}{2} = - 21

= 36 (- 21)

Multiply the numbers:

36 (- 21) = - 756

= - 756

= - 756

= \frac{58}{8} - (- 756)

Add and subtract (left to right)

\frac{58}{8} - (- 756) : \frac{3053}{4}

\frac{58}{8} - (- 756)

Apply rule

- (- a) = + a

- (- 756) = + 756

= \frac{58}{8} + 756

\frac{58}{8} + 756 = \frac{3053}{4}

\frac{58}{8} + 756

Cancel

\frac{58}{8} : \frac{29}{4}

\frac{58}{8}

Cancel the common factor:

2

= \frac{29}{4}

= \frac{29}{4} + 756

Convert element to fraction:

756 = \frac{756 \cdot 4}{4}

= \frac{756 \cdot 4}{4} + \frac{29}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{756 \cdot 4 + 29}{4}

756 \cdot 4 + 29 = 3053

756 \cdot 4 + 29

Multiply the numbers:

756 \cdot 4 = 3024

= 3024 + 29

Add the numbers:

3024 + 29 = 3053

= 3053

= \frac{3053}{4}

= \frac{3053}{4}

= \frac{3053}{4}

Convert improper fractions to mixed numbers:

\frac{3053}{4} = 763 \frac{1}{4}

\frac{3053}{4} = 763

Remainder

1

\frac{3053}{4}

Write the problem in long division format

4 \overline{∣ 3053}

Divide

30

4

to get

7

Divide

30

4

to get

7

7 4 \overline{∣ 3053}

Multiply the quotient digit

(7)

by the divisor

4

7 4 \overline{∣ 3053} \underline{28}

Subtract

28

from

30

7 4 \overline{∣ 3053} \underline{28} 2

Bring down the next number of the dividend

7 4 \overline{∣ 3053} \underline{28} 25

7 4 \overline{∣ 3053} \underline{28} 25

Divide

25

4

to get

6

Divide

25

4

to get

6

76 4 \overline{∣ 3053} \underline{28} 25

Multiply the quotient digit

(6)

by the divisor

4

76 4 \overline{∣ 3053} \underline{28} 25 \underline{24}

Subtract

24

from

25

76 4 \overline{∣ 3053} \underline{28} 25 \underline{24} 1

Bring down the next number of the dividend

76 4 \overline{∣ 3053} \underline{28} 25 \underline{24} 13

76 4 \overline{∣ 3053} \underline{28} 25 \underline{24} 13

Divide

13

4

to get

3

Divide

13

4

to get

3

763 4 \overline{∣ 3053} \underline{28} 25 \underline{24} 13

Multiply the quotient digit

(3)

by the divisor

4

763 4 \overline{∣ 3053} \underline{28} 25 \underline{24} 13 \underline{12}

Subtract

12

from

13

763 4 \overline{∣ 3053} \underline{28} 25 \underline{24} 13 \underline{12} 1

763 4 \overline{∣ 3053} \underline{28} 25 \underline{24} 13 \underline{12} 1

The solution for Long Division of

\frac{3053}{4}

763

with remainder of

1

763 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{3053}{4} = 763 \frac{1}{4}

= 763 \frac{1}{4}

= 763 \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is 58\div 8+(-4)× 9((-6)× 7\div (2)) ?
The solution to 58\div 8+(-4)× 9((-6)× 7\div (2)) is 763 1/4

58\div 8+(-4)× 9((-6)× 7\div (2))

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 58\div 8+(-4)× 9((-6)× 7\div (2)) ?

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