What is 3\div 5\div 3\div 7 ?

The solution to 3\div 5\div 3\div 7 is 1/35

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3\div 5\div 3\div 7

3 \div 5 \div 3 \div 7

\frac{1}{35}

Solution steps

3 \div 5 \div 3 \div 7

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 \div 5 = \frac{3}{5}

= \frac{3}{5} \div 3 \div 7

\frac{3}{5} \div 3 = \frac{1}{5}

\frac{3}{5} \div 3

Convert element to fraction:

3 = \frac{3}{1}

= \frac{3}{5} \div \frac{3}{1}

Apply the fraction rule:

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

= \frac{3}{5} \cdot \frac{1}{3}

Cross-cancel:

3

= \frac{1}{5}

= \frac{1}{5} \div 7

\frac{1}{5} \div 7 = \frac{1}{35}

\frac{1}{5} \div 7

Convert element to fraction:

7 = \frac{7}{1}

= \frac{1}{5} \div \frac{7}{1}

Apply the fraction rule:

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

= \frac{1}{5} \cdot \frac{1}{7}

Multiply fractions:

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

= \frac{1 \cdot 1}{5 \cdot 7}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{5 \cdot 7}

Multiply the numbers:

5 \cdot 7 = 35

= \frac{1}{35}

= \frac{1}{35}

5^{3} + 2^{3}

(45 - 4) (45 + 4)

9 + 2^{2} \div 4

(- 3)^{4} - 15 (- 3)^{2} + 10 (- 3) + 24

\frac{3}{8} + 2 - \frac{1}{6}