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

The solution to 3\div 5\div 7\div 5 is 3/175

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3\div 5\div 7\div 5

3 \div 5 \div 7 \div 5

\frac{3}{175}

Solution steps

3 \div 5 \div 7 \div 5

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

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

\frac{3}{5} \div 7 = \frac{3}{35}

\frac{3}{5} \div 7

Convert element to fraction:

7 = \frac{7}{1}

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

Multiply fractions:

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

= \frac{3 \cdot 1}{5 \cdot 7}

Multiply the numbers:

3 \cdot 1 = 3

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

Multiply the numbers:

5 \cdot 7 = 35

= \frac{3}{35}

= \frac{3}{35} \div 5

\frac{3}{35} \div 5 = \frac{3}{175}

\frac{3}{35} \div 5

Convert element to fraction:

5 = \frac{5}{1}

= \frac{3}{35} \div \frac{5}{1}

Apply the fraction rule:

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

= \frac{3}{35} \cdot \frac{1}{5}

Multiply fractions:

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

= \frac{3 \cdot 1}{35 \cdot 5}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{3}{35 \cdot 5}

Multiply the numbers:

35 \cdot 5 = 175

= \frac{3}{175}

= \frac{3}{175}

2 \cdot 1 - 1

6^{3} \times (- 5^{2})

4^{3} - 1

144 + (20 + 100) \div 5 - 19 \times 2

(2)^{4} - 8 (2)^{2} + 3