The solution to 4/3 (5)^3 is 166 2/3

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4/3 (5)^3

Solution

\frac{4}{3} (5)^{3}

Solution

166 \frac{2}{3}

Solution steps

\frac{4}{3} (5)^{3}

Follow the PEMDAS order of operations

Calculate exponents

(5)^{3} : 125

(5)^{3}

(5)^{3} = 125

= 125

= \frac{4}{3} \cdot 125

Multiply and divide (left to right)

\frac{4}{3} \cdot 125 : \frac{500}{3}

\frac{4}{3} \cdot 125

Convert element to fraction:

125 = \frac{125}{1}

= \frac{4}{3} \cdot \frac{125}{1}

Apply the fraction rule:

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

= \frac{4 \cdot 125}{3 \cdot 1}

Multiply the numbers:

4 \cdot 125 = 500

= \frac{500}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{500}{3}

= \frac{500}{3}

Convert improper fractions to mixed numbers:

\frac{500}{3} = 166 \frac{2}{3}

\frac{500}{3} = 166

Remainder

2

\frac{500}{3}

Write the problem in long division format

3 \overline{∣ 500}

Divide

5

3

to get

1

Divide

5

3

to get

1

1 3 \overline{∣ 500}

Multiply the quotient digit

(1)

by the divisor

3

1 3 \overline{∣ 500} \underline{3}

Subtract

3

from

5

1 3 \overline{∣ 500} \underline{3} 2

Bring down the next number of the dividend

1 3 \overline{∣ 500} \underline{3} 20

1 3 \overline{∣ 500} \underline{3} 20

Divide

20

3

to get

6

Divide

20

3

to get

6

16 3 \overline{∣ 500} \underline{3} 20

Multiply the quotient digit

(6)

by the divisor

3

16 3 \overline{∣ 500} \underline{3} 20 \underline{18}

Subtract

18

from

20

16 3 \overline{∣ 500} \underline{3} 20 \underline{18} 2

Bring down the next number of the dividend

16 3 \overline{∣ 500} \underline{3} 20 \underline{18} 20

16 3 \overline{∣ 500} \underline{3} 20 \underline{18} 20

Divide

20

3

to get

6

Divide

20

3

to get

6

166 3 \overline{∣ 500} \underline{3} 20 \underline{18} 20

Multiply the quotient digit

(6)

by the divisor

3

166 3 \overline{∣ 500} \underline{3} 20 \underline{18} 20 \underline{18}

Subtract

18

from

20

166 3 \overline{∣ 500} \underline{3} 20 \underline{18} 20 \underline{18} 2

166 3 \overline{∣ 500} \underline{3} 20 \underline{18} 20 \underline{18} 2

The solution for Long Division of

\frac{500}{3}

166

with remainder of

2

166 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{500}{3} = 166 \frac{2}{3}

= 166 \frac{2}{3}

= 166 \frac{2}{3}

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6 (- 3)^{2}

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(-2)^4+(-9)^0-(-3)^2

(- 2)^{4} + (- 9)^{0} - (- 3)^{2}

Frequently Asked Questions (FAQ)

What is 4/3 (5)^3 ?
The solution to 4/3 (5)^3 is 166 2/3

4/3 (5)^3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 4/3 (5)^3 ?