What is 4/15-(3/9-5/2) ?

The solution to 4/15-(3/9-5/2) is 2 13/30

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4/15-(3/9-5/2)

\frac{4}{15} - (\frac{3}{9} - \frac{5}{2})

2 \frac{13}{30}

Solution steps

\frac{4}{15} - (\frac{3}{9} - \frac{5}{2})

\frac{3}{9} = \frac{1}{3}

= \frac{4}{15} - (\frac{1}{3} - \frac{5}{2})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{3} - \frac{5}{2}) : - \frac{13}{6}

= \frac{4}{15} - (- \frac{13}{6})

Add and subtract (left to right)

\frac{4}{15} - (- \frac{13}{6}) : \frac{73}{30}

= \frac{73}{30}

Convert improper fractions to mixed numbers:

\frac{73}{30} = 2 \frac{13}{30}

= 2 \frac{13}{30}

3 (4) + 2

(6 - 6)^{2}

(3)^{2} - 9

2 (3 + 4)

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