What is 8+8\div 5× 6× 10\div 20 ?

The solution to 8+8\div 5× 6× 10\div 20 is 12 4/5

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8+8\div 5× 6× 10\div 20

Solution

8 + 8 \div 5 \times 6 \times 10 \div 20

Solution

12 \frac{4}{5}

Solution steps

8 + 8 \div 5 \times 6 \times 10 \div 20

Follow the PEMDAS order of operations

Multiply and divide (left to right)

8 \div 5 \times 6 \times 10 \div 20 : \frac{96}{20}

8 \div 5 \times 6 \times 10 \div 20

8 \div 5 = \frac{8}{5}

= \frac{8}{5} \times 6 \times 10 \div 20

\frac{8}{5} \times 6 = \frac{48}{5}

\frac{8}{5} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{8}{5} \cdot \frac{6}{1}

Apply the fraction rule:

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

= \frac{8 \cdot 6}{5 \cdot 1}

Multiply the numbers:

8 \cdot 6 = 48

= \frac{48}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{48}{5}

= \frac{48}{5} \times 10 \div 20

\frac{48}{5} \times 10 = 96

\frac{48}{5} \cdot 10

Convert element to fraction:

10 = \frac{10}{1}

= \frac{48}{5} \cdot \frac{10}{1}

Apply the fraction rule:

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

= \frac{48 \cdot 10}{5 \cdot 1}

Cancel

\frac{48 \cdot 10}{5 \cdot 1} : 96

\frac{48 \cdot 10}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{48 \cdot 10}{5}

Divide the numbers:

\frac{10}{5} = 2

= 48 \cdot 2

Multiply the numbers:

48 \cdot 2 = 96

= 96

= 96

= 96 \div 20

96 \div 20 = \frac{96}{20}

= \frac{96}{20}

= 8 + \frac{96}{20}

Add and subtract (left to right)

8 + \frac{96}{20} : \frac{64}{5}

8 + \frac{96}{20}

8 + \frac{96}{20} = \frac{64}{5}

8 + \frac{96}{20}

Cancel

\frac{96}{20} : \frac{24}{5}

\frac{96}{20}

Cancel the common factor:

4

= \frac{24}{5}

= 8 + \frac{24}{5}

Convert element to fraction:

8 = \frac{8 \cdot 5}{5}

= \frac{8 \cdot 5}{5} + \frac{24}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{8 \cdot 5 + 24}{5}

8 \cdot 5 + 24 = 64

8 \cdot 5 + 24

Multiply the numbers:

8 \cdot 5 = 40

= 40 + 24

Add the numbers:

40 + 24 = 64

= 64

= \frac{64}{5}

= \frac{64}{5}

= \frac{64}{5}

Convert improper fractions to mixed numbers:

\frac{64}{5} = 12 \frac{4}{5}

\frac{64}{5} = 12

Remainder

4

\frac{64}{5}

Write the problem in long division format

5 \overline{∣ 64}

Divide

6

5

to get

1

Divide

6

5

to get

1

1 5 \overline{∣ 64}

Multiply the quotient digit

(1)

by the divisor

5

1 5 \overline{∣ 64} \underline{5}

Subtract

5

from

6

1 5 \overline{∣ 64} \underline{5} 1

Bring down the next number of the dividend

1 5 \overline{∣ 64} \underline{5} 14

1 5 \overline{∣ 64} \underline{5} 14

Divide

14

5

to get

2

Divide

14

5

to get

2

12 5 \overline{∣ 64} \underline{5} 14

Multiply the quotient digit

(2)

by the divisor

5

12 5 \overline{∣ 64} \underline{5} 14 \underline{10}

Subtract

10

from

14

12 5 \overline{∣ 64} \underline{5} 14 \underline{10} 4

12 5 \overline{∣ 64} \underline{5} 14 \underline{10} 4

The solution for Long Division of

\frac{64}{5}

12

with remainder of

4

12 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{64}{5} = 12 \frac{4}{5}

= 12 \frac{4}{5}

= 12 \frac{4}{5}

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Frequently Asked Questions (FAQ)

What is 8+8\div 5× 6× 10\div 20 ?
The solution to 8+8\div 5× 6× 10\div 20 is 12 4/5

8+8\div 5× 6× 10\div 20

Solution

Solution

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Frequently Asked Questions (FAQ)

What is 8+8\div 5× 6× 10\div 20 ?

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