The solution to 5^3+5 7/2 is 133 1/2

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Popular Pre Algebra >

5^3+5 7/2

Solution

5^{3} + 5 \frac{7}{2}

Solution

133 \frac{1}{2}

Decimal

133.5

Solution steps

5^{3} + 5 \frac{7}{2}

Convert mixed numbers to improper fractions:

5 \frac{7}{2} = \frac{17}{2}

5 \frac{7}{2}

Convert mixed numbers to improper fraction:

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

5 \frac{7}{2} = \frac{5 \cdot 2 + 7}{2}

= \frac{17}{2}

= 5^{3} + \frac{17}{2}

Follow the PEMDAS order of operations

Calculate exponents

5^{3} : 125

5^{3}

5^{3} = 125

= 125

= 125 + \frac{17}{2}

Add and subtract (left to right)

125 + \frac{17}{2} : \frac{267}{2}

125 + \frac{17}{2}

125 + \frac{17}{2} = \frac{267}{2}

125 + \frac{17}{2}

Convert element to fraction:

125 = \frac{125 \cdot 2}{2}

= \frac{125 \cdot 2}{2} + \frac{17}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{125 \cdot 2 + 17}{2}

125 \cdot 2 + 17 = 267

125 \cdot 2 + 17

Multiply the numbers:

125 \cdot 2 = 250

= 250 + 17

Add the numbers:

250 + 17 = 267

= 267

= \frac{267}{2}

= \frac{267}{2}

= \frac{267}{2}

Convert improper fractions to mixed numbers:

\frac{267}{2} = 133 \frac{1}{2}

\frac{267}{2} = 133

Remainder

1

\frac{267}{2}

Write the problem in long division format

2 \overline{∣ 267}

Divide

2

2

to get

1

Divide

2

2

to get

1

1 2 \overline{∣ 267}

Multiply the quotient digit

(1)

by the divisor

2

1 2 \overline{∣ 267} \underline{2}

Subtract

2

from

2

1 2 \overline{∣ 267} \underline{2} 0

Bring down the next number of the dividend

1 2 \overline{∣ 267} \underline{2} 06

1 2 \overline{∣ 267} \underline{2} 06

Divide

6

2

to get

3

Divide

6

2

to get

3

13 2 \overline{∣ 267} \underline{2} 06

Multiply the quotient digit

(3)

by the divisor

2

13 2 \overline{∣ 267} \underline{2} 06 \underline{6}

Subtract

6

from

6

13 2 \overline{∣ 267} \underline{2} 06 \underline{6} 0

Bring down the next number of the dividend

13 2 \overline{∣ 267} \underline{2} 06 \underline{6} 07

13 2 \overline{∣ 267} \underline{2} 06 \underline{6} 07

Divide

7

2

to get

3

Divide

7

2

to get

3

133 2 \overline{∣ 267} \underline{2} 06 \underline{6} 07

Multiply the quotient digit

(3)

by the divisor

2

133 2 \overline{∣ 267} \underline{2} 06 \underline{6} 07 \underline{6}

Subtract

6

from

7

133 2 \overline{∣ 267} \underline{2} 06 \underline{6} 07 \underline{6} 1

133 2 \overline{∣ 267} \underline{2} 06 \underline{6} 07 \underline{6} 1

The solution for Long Division of

\frac{267}{2}

133

with remainder of

1

133 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{267}{2} = 133 \frac{1}{2}

= 133 \frac{1}{2}

= 133 \frac{1}{2}

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-4-(5-7)-(4+5)

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Frequently Asked Questions (FAQ)

What is 5^3+5 7/2 ?
The solution to 5^3+5 7/2 is 133 1/2

5^3+5 7/2

Solution

Solution

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Frequently Asked Questions (FAQ)

What is 5^3+5 7/2 ?

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