What is 5/9 \div (2/7+1/4) ?

The solution to 5/9 \div (2/7+1/4) is 1 1/27

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5/9 \div (2/7+1/4)

\frac{5}{9} \div (\frac{2}{7} + \frac{1}{4})

1 \frac{1}{27}

Solution steps

\frac{5}{9} \div (\frac{2}{7} + \frac{1}{4})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{2}{7} + \frac{1}{4}) : \frac{15}{28}

= \frac{5}{9} \div \frac{15}{28}

Multiply and divide (left to right)

\frac{5}{9} \div \frac{15}{28} : \frac{28}{27}

= \frac{28}{27}

Convert improper fractions to mixed numbers:

\frac{28}{27} = 1 \frac{1}{27}

= 1 \frac{1}{27}

100 \times 5^{2} - 1200 \times 5 + 4000

2 \cdot 2 - 7

5 (3 - 2 (- 2) + (2 - 3))^{2}

8 5^{2} - 3 6^{2}

8 + 8 - 6 - 2 - 10 + 8