What is 7 1/2 \div (3*5/9) ?

The solution to 7 1/2 \div (3*5/9) is 4 1/2

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7 1/2 \div (3*5/9)

7 \frac{1}{2} \div (3 \cdot \frac{5}{9})

4 \frac{1}{2}

Solution steps

7 \frac{1}{2} \div (3 \cdot \frac{5}{9})

Convert mixed numbers to improper fractions:

7 \frac{1}{2} = \frac{15}{2}

= \frac{15}{2} \div (3 \cdot \frac{5}{9})

Follow the PEMDAS order of operations

Calculate within parentheses

(3 \cdot \frac{5}{9}) : \frac{5}{3}

= \frac{15}{2} \div \frac{5}{3}

Multiply and divide (left to right)

\frac{15}{2} \div \frac{5}{3} : \frac{9}{2}

= \frac{9}{2}

Convert improper fractions to mixed numbers:

\frac{9}{2} = 4 \frac{1}{2}

= 4 \frac{1}{2}

2 \cdot 2^{2} - 5^{3} - (- 3)^{3} - (- 1)^{5}

\frac{- 3 ^{0}}{- 3 ^{2}}

2 (- 3 - 5)^{2} + 7

(4 + 8)^{2}

0 + 1 (\frac{1}{2})