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

The solution to 5/4 \times (1-2/3) is 5/12

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

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

\frac{5}{12}

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

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

1 - \frac{2}{3}

1 - \frac{2}{3} = \frac{1}{3}

1 - \frac{2}{3}

Convert element to fraction:

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

= \frac{1 \cdot 3}{3} - \frac{2}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 3 - 2}{3}

1 \cdot 3 - 2 = 1

1 \cdot 3 - 2

Multiply the numbers:

1 \cdot 3 = 3

= 3 - 2

Subtract the numbers:

3 - 2 = 1

= 1

= \frac{1}{3}

= \frac{1}{3}

= \frac{5}{4} \cdot \frac{1}{3}

Multiply and divide (left to right)

\frac{5}{4} \cdot \frac{1}{3} : \frac{5}{12}

\frac{5}{4} \cdot \frac{1}{3}

Apply the fraction rule:

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

= \frac{5 \cdot 1}{4 \cdot 3}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{5}{4 \cdot 3}

Multiply the numbers:

4 \cdot 3 = 12

= \frac{5}{12}

= \frac{5}{12}

2^{2} + 9 (2) - 5

5^{5} + 9

16 \div 8 \times 2 + 7

(3 \times 7)^{2}

- 2 + (- 1) - 6