What is 8/9 \div 7\div 2/3 ?

The solution to 8/9 \div 7\div 2/3 is 4/21

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8/9 \div 7\div 2/3

\frac{8}{9} \div 7 \div \frac{2}{3}

\frac{4}{21}

Solution steps

\frac{8}{9} \div 7 \div \frac{2}{3}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{8}{9} \div 7 = \frac{8}{63}

\frac{8}{9} \div 7

Convert element to fraction:

7 = \frac{7}{1}

= \frac{8}{9} \div \frac{7}{1}

Apply the fraction rule:

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

= \frac{8}{9} \cdot \frac{1}{7}

Multiply fractions:

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

= \frac{8 \cdot 1}{9 \cdot 7}

Multiply the numbers:

8 \cdot 1 = 8

= \frac{8}{9 \cdot 7}

Multiply the numbers:

9 \cdot 7 = 63

= \frac{8}{63}

= \frac{8}{63} \div \frac{2}{3}

\frac{8}{63} \div \frac{2}{3} = \frac{4}{21}

\frac{8}{63} \div \frac{2}{3}

Apply the fraction rule:

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

= \frac{8}{63} \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{8 \cdot 3}{63 \cdot 2}

Multiply the numbers:

8 \cdot 3 = 24

= \frac{24}{63 \cdot 2}

Multiply the numbers:

63 \cdot 2 = 126

= \frac{24}{126}

Cancel the common factor:

6

= \frac{4}{21}

= \frac{4}{21}

19 3^{2} - 16 8^{2}

- 8^{2} + 1 5^{2}

- 1^{2} - 1 - 2

(5/8) / (4/6)

(34 - 45) - (- 34 - 45)