What is (3\div 2)(1\div 6) ?

The solution to (3\div 2)(1\div 6) is 1/4

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(3\div 2)(1\div 6)

(3 \div 2) (1 \div 6)

\frac{1}{4}

Solution steps

(3 \div 2) (1 \div 6)

Follow the PEMDAS order of operations

Calculate within parentheses

(3 \div 2) : \frac{3}{2}

3 \div 2

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

= \frac{3}{2}

= \frac{3}{2} (1 \div 6)

Calculate within parentheses

(1 \div 6) : \frac{1}{6}

1 \div 6

1 \div 6 = \frac{1}{6}

= \frac{1}{6}

= \frac{3}{2} \cdot \frac{1}{6}

Multiply and divide (left to right)

\frac{3}{2} \cdot \frac{1}{6} : \frac{1}{4}

\frac{3}{2} \cdot \frac{1}{6}

Apply the fraction rule:

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

= \frac{3 \cdot 1}{2 \cdot 6}

Cancel

\frac{3 \cdot 1}{2 \cdot 6} : \frac{1}{4}

\frac{3 \cdot 1}{2 \cdot 6}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{3}{2 \cdot 6}

Cancel the numbers:

\frac{3}{6} = \frac{1}{2}

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

Multiply the numbers:

2 \cdot 2 = 4

= \frac{1}{4}

= \frac{1}{4}

= \frac{1}{4}

(1 \frac{11}{16} - 3 \frac{7}{8}) \times 4

9 \times 8 \div 2

2 \cdot 2 + 2

2 \cdot 2 + 8

1 + 4 - 9 - 3 + 11