What is 13/15-2/3 (1/4+5/3*6/5-1/30) ?

The solution to 13/15-2/3 (1/4+5/3*6/5-1/30) is -11/18

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13/15-2/3 (1/4+5/3*6/5-1/30)

\frac{13}{15} - \frac{2}{3} (\frac{1}{4} + \frac{5}{3} \cdot \frac{6}{5} - \frac{1}{30})

- \frac{11}{18}

Solution steps

\frac{13}{15} - \frac{2}{3} (\frac{1}{4} + \frac{5}{3} \cdot \frac{6}{5} - \frac{1}{30})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{4} + \frac{5}{3} \cdot \frac{6}{5} - \frac{1}{30}) : \frac{133}{60}

= \frac{13}{15} - \frac{2}{3} \cdot \frac{133}{60}

Multiply and divide (left to right)

\frac{2}{3} \cdot \frac{133}{60} : \frac{133}{90}

= \frac{13}{15} - \frac{133}{90}

Add and subtract (left to right)

\frac{13}{15} - \frac{133}{90} : - \frac{11}{18}

= - \frac{11}{18}

0 = 0.8796429 + 37.30054 x - 39.26339 x^{2}

\frac{5 + 7 x}{1 + 2 x} \leq 4

3 x^{2} - 6 x + 15 = 0

\frac{( 11 ) ^{2} + 64}{( 11 )}

3 x^{2} = 147

What is 13/15-2/3 (1/4+5/3*6/5-1/30) ?
The solution to 13/15-2/3 (1/4+5/3*6/5-1/30) is -11/18