What is (5/3-2/5)*7/2-1/3 ?

The solution to (5/3-2/5)*7/2-1/3 is 4 1/10

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(5/3-2/5)*7/2-1/3

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

4 \frac{1}{10}

Solution steps

(\frac{5}{3} - \frac{2}{5}) \frac{7}{2} - \frac{1}{3}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{5}{3} - \frac{2}{5}) : \frac{19}{15}

= \frac{19}{15} \cdot \frac{7}{2} - \frac{1}{3}

Multiply and divide (left to right)

\frac{19}{15} \cdot \frac{7}{2} : \frac{133}{30}

= \frac{133}{30} - \frac{1}{3}

Add and subtract (left to right)

\frac{133}{30} - \frac{1}{3} : \frac{41}{10}

= \frac{41}{10}

Convert improper fractions to mixed numbers:

\frac{41}{10} = 4 \frac{1}{10}

= 4 \frac{1}{10}

4 t^{2} + 4 t + 1 = 0

x^{2} + 2 x \leq 0

8 y^{2} - 11 y + 3

\frac{1}{\frac{2 2}{3}}

x^{2} + 20 = 12 x