What is 5/7 \div (4-1 1/7) ?

The solution to 5/7 \div (4-1 1/7) is 1/4

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5/7 \div (4-1 1/7)

\frac{5}{7} \div (4 - 1 \frac{1}{7})

\frac{1}{4}

Solution steps

\frac{5}{7} \div (4 - 1 \frac{1}{7})

Convert mixed numbers to improper fractions:

1 \frac{1}{7} = \frac{8}{7}

= \frac{5}{7} \div (4 - \frac{8}{7})

Follow the PEMDAS order of operations

Calculate within parentheses

(4 - \frac{8}{7}) : \frac{20}{7}

= \frac{5}{7} \div \frac{20}{7}

Multiply and divide (left to right)

\frac{5}{7} \div \frac{20}{7} : \frac{1}{4}

= \frac{1}{4}

- 3 - 4 + 6

\frac{5}{2} (2)^{2}

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

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

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