What is ([6-1-5^3+(3-4)])/(-2) ?

The solution to ([6-1-5^3+(3-4)])/(-2) is 60 1/2

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Popular Pre Algebra >

([6-1-5^3+(3-4)])/(-2)

Solution

\frac{[ 6 - 1 - 5 ^{3} + ( 3 - 4 ) ]}{- 2}

Solution

60 \frac{1}{2}

Decimal

60.5

Solution steps

\frac{[ 6 - 1 - 5 ^{3} + ( 3 - 4 ) ]}{- 2}

Solve

[6 - 1 - 5^{3} + (3 - 4)] : - 121

Follow the PEMDAS order of operations

Calculate within parentheses

(3 - 4) : - 1

3 - 4

3 - 4 = - 1

= - 1

= 6 - 1 - 5^{3} - 1

Calculate exponents

5^{3} : 125

5^{3}

5^{3} = 125

= 125

= 6 - 1 - 125 - 1

Add and subtract (left to right)

6 - 1 - 125 - 1 : - 121

6 - 1 - 125 - 1

6 - 1 = 5

= 5 - 125 - 1

5 - 125 = - 120

= - 120 - 1

- 120 - 1 = - 121

= - 121

= - 121

= \frac{- 121}{- 2}

Simplify

\frac{- 121}{- 2} : 60 \frac{1}{2}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

= \frac{121}{2}

Convert improper fractions to mixed numbers:

\frac{121}{2} = 60 \frac{1}{2}

\frac{121}{2} = 60

Remainder

1

\frac{121}{2}

Write the problem in long division format

2 \overline{∣ 121}

Divide

12

2

to get

6

Divide

12

2

to get

6

6 2 \overline{∣ 121}

Multiply the quotient digit

(6)

by the divisor

2

6 2 \overline{∣ 121} \underline{12}

Subtract

12

from

12

6 2 \overline{∣ 121} \underline{12} 0

Bring down the next number of the dividend

6 2 \overline{∣ 121} \underline{12} 01

6 2 \overline{∣ 121} \underline{12} 01

Divide

1

2

to get

0

Divide

1

2

to get

0

60 2 \overline{∣ 121} \underline{12} 01

Multiply the quotient digit

(0)

by the divisor

2

60 2 \overline{∣ 121} \underline{12} 01 \underline{0}

Subtract

0

from

1

60 2 \overline{∣ 121} \underline{12} 01 \underline{0} 1

60 2 \overline{∣ 121} \underline{12} 01 \underline{0} 1

The solution for Long Division of

\frac{121}{2}

60

with remainder of

1

60 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{121}{2} = 60 \frac{1}{2}

= 60 \frac{1}{2}

= 60 \frac{1}{2}

= 60 \frac{1}{2}

Popular Examples

9(6)^2

6\div (-8+5)-3× (-2+7)

[(-5× 4)+(6× 3)-54]\div 7

1*(-4)-8*9/(-3)

-2(-4)^3-5

Frequently Asked Questions (FAQ)

What is ([6-1-5^3+(3-4)])/(-2) ?
The solution to ([6-1-5^3+(3-4)])/(-2) is 60 1/2

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