What is 5 3/5 \div (6+8) ?

The solution to 5 3/5 \div (6+8) is 2/5

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5 3/5 \div (6+8)

5 \frac{3}{5} \div (6 + 8)

\frac{2}{5}

Solution steps

5 \frac{3}{5} \div (6 + 8)

Convert mixed numbers to improper fractions:

5 \frac{3}{5} = \frac{28}{5}

5 \frac{3}{5}

Convert mixed numbers to improper fraction:

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

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

= \frac{28}{5}

= \frac{28}{5} \div (6 + 8)

Follow the PEMDAS order of operations

Calculate within parentheses

(6 + 8) : 14

6 + 8

6 + 8 = 14

= 14

= \frac{28}{5} \div 14

Multiply and divide (left to right)

\frac{28}{5} \div 14 : \frac{2}{5}

\frac{28}{5} \div 14

Convert element to fraction:

14 = \frac{14}{1}

= \frac{28}{5} \div \frac{14}{1}

Apply the fraction rule:

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

= \frac{28}{5} \cdot \frac{1}{14}

Cross-cancel common factor:

14

= \frac{2}{5}

= \frac{2}{5}

\frac{1}{2} - 2^{3} (3^{2}) + 3 - 2^{2} (4^{2})

- 6 - (- 3) \cdot 7

14 \cdot 38 - 38 \cdot 24

(4 - (- 5))^{2}

3 \times 2^{2} - 3