What is 3\div 4\div 3\div 2 ?

The solution to 3\div 4\div 3\div 2 is 1/8

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3\div 4\div 3\div 2

3 \div 4 \div 3 \div 2

\frac{1}{8}

Solution steps

3 \div 4 \div 3 \div 2

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 \div 4 = \frac{3}{4}

= \frac{3}{4} \div 3 \div 2

\frac{3}{4} \div 3 = \frac{1}{4}

\frac{3}{4} \div 3

Convert element to fraction:

3 = \frac{3}{1}

= \frac{3}{4} \div \frac{3}{1}

Apply the fraction rule:

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

= \frac{3}{4} \cdot \frac{1}{3}

Cross-cancel:

3

= \frac{1}{4}

= \frac{1}{4} \div 2

\frac{1}{4} \div 2 = \frac{1}{8}

\frac{1}{4} \div 2

Convert element to fraction:

2 = \frac{2}{1}

= \frac{1}{4} \div \frac{2}{1}

Apply the fraction rule:

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

= \frac{1}{4} \cdot \frac{1}{2}

Multiply fractions:

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

= \frac{1 \cdot 1}{4 \cdot 2}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= \frac{1}{8}

= \frac{1}{8}

3 {2 + 5 [3 + (6 - 4)^{2} + 1] - 7}

15 + [5 - (6 + 3) - (8 - 2)]

2 \times 3^{2} \times 3 \times 5

15 - 3 \cdot 12 \div 6 + 4^{2} \div 8

\frac{- 6 - 2 ( 1 )}{4}