What is 108\div 360\times 6^2 ?

The solution to 108\div 360\times 6^2 is 10 4/5

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Popular >

108\div 360\times 6^2

Solution

108 \div 360 \times 6^{2}

Solution

10 \frac{4}{5}

Solution steps

108 \div 360 \times 6^{2}

Follow the PEMDAS order of operations

Calculate exponents

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= 108 \div 360 \times 36

Multiply and divide (left to right)

108 \div 360 \times 36 : \frac{54}{5}

108 \div 360 \times 36

108 \div 360 = \frac{108}{360}

= \frac{108}{360} \times 36

\frac{108}{360} \times 36 = \frac{54}{5}

\frac{108}{360} \cdot 36

Cancel

\frac{108}{360} : \frac{3}{10}

\frac{108}{360}

Factor the number:

108 = 36 \cdot 3

= \frac{36 \cdot 3}{360}

Factor the number:

360 = 36 \cdot 10

= \frac{36 \cdot 3}{36 \cdot 10}

Cancel the common factor:

36

= \frac{3}{10}

= \frac{3}{10} \cdot 36

\frac{3}{10} \cdot 36 = \frac{54}{5}

\frac{3}{10} \cdot 36

Convert element to fraction:

36 = \frac{36}{1}

= \frac{3}{10} \cdot \frac{36}{1}

Apply the fraction rule:

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

= \frac{3 \cdot 36}{10 \cdot 1}

Cancel

\frac{3 \cdot 36}{10 \cdot 1} : \frac{54}{5}

\frac{3 \cdot 36}{10 \cdot 1}

Multiply the numbers:

10 \cdot 1 = 10

= \frac{3 \cdot 36}{10}

Factor the number:

36 = 2 \cdot 18

= \frac{3 \cdot 2 \cdot 18}{10}

Factor the number:

10 = 2 \cdot 5

= \frac{3 \cdot 2 \cdot 18}{2 \cdot 5}

Cancel the common factor:

2

= \frac{3 \cdot 18}{5}

Multiply the numbers:

3 \cdot 18 = 54

= \frac{54}{5}

= \frac{54}{5}

= \frac{54}{5}

= \frac{54}{5}

= \frac{54}{5}

Convert improper fractions to mixed numbers:

\frac{54}{5} = 10 \frac{4}{5}

\frac{54}{5} = 10

Remainder

4

\frac{54}{5}

Write the problem in long division format

5 \overline{∣ 54}

Divide

5

5

to get

1

Divide

5

5

to get

1

1 5 \overline{∣ 54}

Multiply the quotient digit

(1)

by the divisor

5

1 5 \overline{∣ 54} \underline{5}

Subtract

5

from

5

1 5 \overline{∣ 54} \underline{5} 0

Bring down the next number of the dividend

1 5 \overline{∣ 54} \underline{5} 04

1 5 \overline{∣ 54} \underline{5} 04

Divide

4

5

to get

0

Divide

4

5

to get

0

10 5 \overline{∣ 54} \underline{5} 04

Multiply the quotient digit

(0)

by the divisor

5

10 5 \overline{∣ 54} \underline{5} 04 \underline{0}

Subtract

0

from

4

10 5 \overline{∣ 54} \underline{5} 04 \underline{0} 4

10 5 \overline{∣ 54} \underline{5} 04 \underline{0} 4

The solution for Long Division of

\frac{54}{5}

10

with remainder of

4

10 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{54}{5} = 10 \frac{4}{5}

= 10 \frac{4}{5}

= 10 \frac{4}{5}

Popular Examples

5^2-21

5^{2} - 21

5^2+3^2+1^2

5^{2} + 3^{2} + 1^{2}

3^3-2^4

3^{3} - 2^{4}

3\times 4+6

3 \times 4 + 6

1-3/5 (2/3+1/2)

1 - \frac{3}{5} (\frac{2}{3} + \frac{1}{2})

Frequently Asked Questions (FAQ)

What is 108\div 360\times 6^2 ?
The solution to 108\div 360\times 6^2 is 10 4/5