What is 3-1/2 \div 1/5 ?

The solution to 3-1/2 \div 1/5 is 1/2

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3-1/2 \div 1/5

3 - \frac{1}{2} \div \frac{1}{5}

\frac{1}{2}

Solution steps

3 - \frac{1}{2} \div \frac{1}{5}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{2} \div \frac{1}{5} : \frac{5}{2}

\frac{1}{2} \div \frac{1}{5}

Apply the fraction rule:

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

= \frac{1}{2} \cdot \frac{5}{1}

Multiply fractions:

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

= \frac{1 \cdot 5}{2 \cdot 1}

Cancel the common factor:

1

= \frac{5}{2}

= 3 - \frac{5}{2}

Add and subtract (left to right)

3 - \frac{5}{2} : \frac{1}{2}

3 - \frac{5}{2}

3 - \frac{5}{2} = \frac{1}{2}

3 - \frac{5}{2}

Convert element to fraction:

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

= \frac{3 \cdot 2}{2} - \frac{5}{2}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{3 \cdot 2 - 5}{2}

3 \cdot 2 - 5 = 1

3 \cdot 2 - 5

Multiply the numbers:

3 \cdot 2 = 6

= 6 - 5

Subtract the numbers:

6 - 5 = 1

= 1

= \frac{1}{2}

= \frac{1}{2}

= \frac{1}{2}

3 (- 2) + 7

(17 - 5 \times 20) - 13

12 \div 4 + 12 \div 3

2 \times 3 + 6 \div 2

(30 - 4 - 6) \div (1 + 3)