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

The solution to (2-1 1/3)\times 4/5 is 8/15

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

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

\frac{8}{15}

Solution steps

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

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{4}{5}

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{4}{5}

Multiply and divide (left to right)

\frac{2}{3} \cdot \frac{4}{5} : \frac{8}{15}

\frac{2}{3} \cdot \frac{4}{5}

Apply the fraction rule:

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

= \frac{2 \cdot 4}{3 \cdot 5}

Multiply the numbers:

2 \cdot 4 = 8

= \frac{8}{3 \cdot 5}

Multiply the numbers:

3 \cdot 5 = 15

= \frac{8}{15}

= \frac{8}{15}

\frac{2 ^{2} + 2}{2 ^{2}}

- 9 \div 3 - [(8 - 10) - (9 - 2)]

1 \times 2^{5}

\frac{5}{7} + 9 - \frac{5}{3} - \frac{9}{4}

- 4 \cdot (- 4) \cdot (- 4) \cdot (- 4)