What is 8/7 \div 2*10/3 ?

The solution to 8/7 \div 2*10/3 is 1 19/21

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Popular >

8/7 \div 2*10/3

Solution

\frac{8}{7} \div 2 \cdot \frac{10}{3}

Solution

1 \frac{19}{21}

Solution steps

\frac{8}{7} \div 2 \cdot \frac{10}{3}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{8}{7} \div 2 = \frac{4}{7}

\frac{8}{7} \div 2

Convert element to fraction:

2 = \frac{2}{1}

= \frac{8}{7} \div \frac{2}{1}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{8}{7} \cdot \frac{1}{2}

Cross-cancel common factor:

2

= \frac{4}{7}

= \frac{4}{7} \cdot \frac{10}{3}

\frac{4}{7} \cdot \frac{10}{3} = \frac{40}{21}

\frac{4}{7} \cdot \frac{10}{3}

Apply the fraction rule:

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

= \frac{4 \cdot 10}{7 \cdot 3}

Multiply the numbers:

4 \cdot 10 = 40

= \frac{40}{7 \cdot 3}

Multiply the numbers:

7 \cdot 3 = 21

= \frac{40}{21}

= \frac{40}{21}

Convert improper fractions to mixed numbers:

\frac{40}{21} = 1 \frac{19}{21}

\frac{40}{21} = 1

Remainder

19

\frac{40}{21}

Write the problem in long division format

21 \overline{∣ 40}

Divide

40

21

to get

1

Divide

40

21

to get

1

1 21 \overline{∣ 40}

Multiply the quotient digit

(1)

by the divisor

21

1 21 \overline{∣ 40} \underline{21}

Subtract

21

from

40

1 21 \overline{∣ 40} \underline{21} 19

1 21 \overline{∣ 40} \underline{21} 19

The solution for Long Division of

\frac{40}{21}

1

with remainder of

19

1 Remainder 19

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{40}{21} = 1 \frac{19}{21}

= 1 \frac{19}{21}

= 1 \frac{19}{21}

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[6 + 4 [9 - 5 (10 - 12)] + 9 - 5] + 18

1/3 \times 4-3

\frac{1}{3} \times 4 - 3

Frequently Asked Questions (FAQ)

What is 8/7 \div 2*10/3 ?
The solution to 8/7 \div 2*10/3 is 1 19/21