What is (1-3/4)(3-2 1/2) ?

The solution to (1-3/4)(3-2 1/2) is 1/8

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(1-3/4)(3-2 1/2)

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

\frac{1}{8}

Solution steps

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

Convert mixed numbers to improper fractions:

2 \frac{1}{2} = \frac{5}{2}

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

Follow the PEMDAS order of operations

Calculate within parentheses

(1 - \frac{3}{4}) : \frac{1}{4}

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

Calculate within parentheses

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

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

Multiply and divide (left to right)

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

= \frac{1}{8}

15 \div 3 + 2 + 20 \div (2 + 2)

2 (6)^{2}

2^{2} \times 2

2 (2) - 4

(0)^{2} - 2 (0)