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

The solution to 5/7 \div (5-1 1/4) is 4/21

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

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

\frac{4}{21}

Solution steps

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

Convert mixed numbers to improper fractions:

1 \frac{1}{4} = \frac{5}{4}

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

Follow the PEMDAS order of operations

Calculate within parentheses

(5 - \frac{5}{4}) : \frac{15}{4}

= \frac{5}{7} \div \frac{15}{4}

Multiply and divide (left to right)

\frac{5}{7} \div \frac{15}{4} : \frac{4}{21}

= \frac{4}{21}

5 - (8 + 3) - 6

18 + 3 (\frac{10}{15})

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

3 - 2 + (1 - 7 - (5 - (2 - 2) - 1) + 1)

(3 + 5)^{2} + (12 \div 4)