What is 1/4 \times (3 3/5-2) ?

The solution to 1/4 \times (3 3/5-2) is 2/5

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1/4 \times (3 3/5-2)

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

\frac{2}{5}

Solution steps

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

Convert mixed numbers to improper fractions:

3 \frac{3}{5} = \frac{18}{5}

= \frac{1}{4} \cdot (\frac{18}{5} - 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{18}{5} - 2) : \frac{8}{5}

= \frac{1}{4} \cdot \frac{8}{5}

Multiply and divide (left to right)

\frac{1}{4} \cdot \frac{8}{5} : \frac{2}{5}

= \frac{2}{5}

5 + 4 - 3

7^{2} - (9 \cdot 3 + 4^{2})

(7 + 5)^{2}

- 4 - 8 \div (- 4)

5^{2} - 9