What is 4\div 7\times 9\div 9 ?

The solution to 4\div 7\times 9\div 9 is 4/7

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4\div 7\times 9\div 9

4 \div 7 \times 9 \div 9

\frac{4}{7}

Solution steps

4 \div 7 \times 9 \div 9

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

= \frac{4}{7} \times 9 \div 9

\frac{4}{7} \times 9 = \frac{36}{7}

\frac{4}{7} \cdot 9

Convert element to fraction:

9 = \frac{9}{1}

= \frac{4}{7} \cdot \frac{9}{1}

Apply the fraction rule:

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

= \frac{4 \cdot 9}{7 \cdot 1}

Multiply the numbers:

4 \cdot 9 = 36

= \frac{36}{7 \cdot 1}

Multiply the numbers:

7 \cdot 1 = 7

= \frac{36}{7}

= \frac{36}{7} \div 9

\frac{36}{7} \div 9 = \frac{4}{7}

\frac{36}{7} \div 9

Convert element to fraction:

9 = \frac{9}{1}

= \frac{36}{7} \div \frac{9}{1}

Apply the fraction rule:

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

= \frac{36}{7} \cdot \frac{1}{9}

Cross-cancel common factor:

9

= \frac{4}{7}

= \frac{4}{7}

1 - (98 + (- 67) - (- 32) + (- 12) - 5)

11 (30 + 35 + 28 + 36 + 28)

2^{4} \div 2^{2} \times 3

7 - 8 + 4 - 10 + 6 - 5 - 9

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