What is (3+1/2)\div 3 1/2 ?

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

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(3+1/2)\div 3 1/2

(3 + \frac{1}{2}) \div 3 \frac{1}{2}

1

Solution steps

(3 + \frac{1}{2}) \div 3 \frac{1}{2}

Convert mixed numbers to improper fractions:

3 \frac{1}{2} = \frac{7}{2}

3 \frac{1}{2}

Convert mixed numbers to improper fraction:

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

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

= \frac{7}{2}

= (3 + \frac{1}{2}) \div \frac{7}{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(3 + \frac{1}{2}) : \frac{7}{2}

3 + \frac{1}{2}

3 + \frac{1}{2} = \frac{7}{2}

3 + \frac{1}{2}

Convert element to fraction:

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

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

3 \cdot 2 + 1 = 7

3 \cdot 2 + 1

Multiply the numbers:

3 \cdot 2 = 6

= 6 + 1

Add the numbers:

6 + 1 = 7

= 7

= \frac{7}{2}

= \frac{7}{2}

= \frac{7}{2} \div \frac{7}{2}

Multiply and divide (left to right)

\frac{7}{2} \div \frac{7}{2} : 1

\frac{7}{2} \div \frac{7}{2}

Apply the fraction rule:

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

= \frac{7}{2} \cdot \frac{2}{7}

Multiply fractions:

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

= \frac{7 \cdot 2}{2 \cdot 7}

Cancel the common factor:

7

= \frac{2}{2}

Cancel the common factor:

2

= 1

= 1

88 \div [5 \times 3 - 2 + 5 (3 - 2) + 4] + 2

\frac{2 5 ^{9} + 5 ^{17}}{30}

2 \div (- 2) 5

- 4 + 5 - 8 + 3

(- 5)^{2} - 2 (5)^{2} \div 10