What is 5/8 \div (2-1 1/6) ?

The solution to 5/8 \div (2-1 1/6) is 3/4

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5/8 \div (2-1 1/6)

\frac{5}{8} \div (2 - 1 \frac{1}{6})

\frac{3}{4}

Solution steps

\frac{5}{8} \div (2 - 1 \frac{1}{6})

Convert mixed numbers to improper fractions:

1 \frac{1}{6} = \frac{7}{6}

= \frac{5}{8} \div (2 - \frac{7}{6})

Follow the PEMDAS order of operations

Calculate within parentheses

(2 - \frac{7}{6}) : \frac{5}{6}

= \frac{5}{8} \div \frac{5}{6}

Multiply and divide (left to right)

\frac{5}{8} \div \frac{5}{6} : \frac{3}{4}

= \frac{3}{4}

9 - 7 + 5

2 \cdot 0 - 7

2 (- 6) - 9 (- 3)

2 \cdot 1 + 1

(1)^{2} - 2 (1) + 3