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

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

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

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

\frac{1}{2}

Solution steps

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

Convert mixed numbers to improper fractions:

1 \frac{1}{3} = \frac{4}{3}

1 \frac{1}{3}

Convert mixed numbers to improper fraction:

a \frac{b}{c} = \frac{a \cdot c + b}{c}

1 \frac{1}{3} = \frac{1 \cdot 3 + 1}{3}

= \frac{4}{3}

= (2 - \frac{4}{3}) \cdot \frac{3}{4}

Follow the PEMDAS order of operations

Calculate within parentheses

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

2 - \frac{4}{3}

2 - \frac{4}{3} = \frac{2}{3}

2 - \frac{4}{3}

Convert element to fraction:

2 = \frac{2 \cdot 3}{3}

= \frac{2 \cdot 3}{3} - \frac{4}{3}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{2 \cdot 3 - 4}{3}

2 \cdot 3 - 4 = 2

2 \cdot 3 - 4

Multiply the numbers:

2 \cdot 3 = 6

= 6 - 4

Subtract the numbers:

6 - 4 = 2

= 2

= \frac{2}{3}

= \frac{2}{3}

= \frac{2}{3} \cdot \frac{3}{4}

Multiply and divide (left to right)

\frac{2}{3} \cdot \frac{3}{4} : \frac{1}{2}

\frac{2}{3} \cdot \frac{3}{4}

Cross-cancel common factor:

3

= \frac{2}{4}

Cancel the numbers:

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

= \frac{1}{2}

= \frac{1}{2}

(6 \times 3 - 1 + 4 - 10) - (- 1 + 4 - 1)

2^{5} + 8 + 4^{2} + 3^{3}

2 (- 1)^{2} + 3 (- 1) - 1

- (+ 3 - 2 - 1) + (- 5 + 7 + 4)

1 + 5 + (- 2) + (- 3)