The solution to 1/6*15^3 is 562 1/2

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Popular Pre Algebra >

1/6*15^3

Solution

\frac{1}{6} \cdot 1 5^{3}

Solution

562 \frac{1}{2}

Decimal

562.5

Solution steps

\frac{1}{6} \cdot 1 5^{3}

Follow the PEMDAS order of operations

Calculate exponents

1 5^{3} : 3375

1 5^{3}

1 5^{3} = 3375

= 3375

= \frac{1}{6} \cdot 3375

Multiply and divide (left to right)

\frac{1}{6} \cdot 3375 : \frac{1125}{2}

\frac{1}{6} \cdot 3375

Convert element to fraction:

3375 = \frac{3375}{1}

= \frac{1}{6} \cdot \frac{3375}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 3375}{6 \cdot 1}

\frac{1 \cdot 3375}{6 \cdot 1} = \frac{1125}{2}

\frac{1 \cdot 3375}{6 \cdot 1}

\frac{1 \cdot 3375}{6 \cdot 1} = \frac{3375}{6}

\frac{1 \cdot 3375}{6 \cdot 1}

Multiply the numbers:

1 \cdot 3375 = 3375

= \frac{3375}{6 \cdot 1}

Multiply the numbers:

6 \cdot 1 = 6

= \frac{3375}{6}

= \frac{3375}{6}

Factor the number:

3375 = 3 \cdot 1125

= \frac{3 \cdot 1125}{6}

Factor the number:

6 = 3 \cdot 2

= \frac{3 \cdot 1125}{3 \cdot 2}

Cancel the common factor:

3

= \frac{1125}{2}

= \frac{1125}{2}

= \frac{1125}{2}

Convert improper fractions to mixed numbers:

\frac{1125}{2} = 562 \frac{1}{2}

\frac{1125}{2} = 562

Remainder

1

\frac{1125}{2}

Write the problem in long division format

2 \overline{∣ 1125}

Divide

11

2

to get

5

Divide

11

2

to get

5

5 2 \overline{∣ 1125}

Multiply the quotient digit

(5)

by the divisor

2

5 2 \overline{∣ 1125} \underline{10}

Subtract

10

from

11

5 2 \overline{∣ 1125} \underline{10} 1

Bring down the next number of the dividend

5 2 \overline{∣ 1125} \underline{10} 12

5 2 \overline{∣ 1125} \underline{10} 12

Divide

12

2

to get

6

Divide

12

2

to get

6

56 2 \overline{∣ 1125} \underline{10} 12

Multiply the quotient digit

(6)

by the divisor

2

56 2 \overline{∣ 1125} \underline{10} 12 \underline{12}

Subtract

12

from

12

56 2 \overline{∣ 1125} \underline{10} 12 \underline{12} 0

Bring down the next number of the dividend

56 2 \overline{∣ 1125} \underline{10} 12 \underline{12} 05

56 2 \overline{∣ 1125} \underline{10} 12 \underline{12} 05

Divide

5

2

to get

2

Divide

5

2

to get

2

562 2 \overline{∣ 1125} \underline{10} 12 \underline{12} 05

Multiply the quotient digit

(2)

by the divisor

2

562 2 \overline{∣ 1125} \underline{10} 12 \underline{12} 05 \underline{4}

Subtract

4

from

5

562 2 \overline{∣ 1125} \underline{10} 12 \underline{12} 05 \underline{4} 1

562 2 \overline{∣ 1125} \underline{10} 12 \underline{12} 05 \underline{4} 1

The solution for Long Division of

\frac{1125}{2}

562

with remainder of

1

562 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{1125}{2} = 562 \frac{1}{2}

= 562 \frac{1}{2}

= 562 \frac{1}{2}

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What is 1/6*15^3 ?
The solution to 1/6*15^3 is 562 1/2

1/6*15^3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 1/6*15^3 ?

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