simplify 4/5*2 2/3

Solution

simplify

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

2 \frac{2}{15}

Decimal Notation

2.13333 \dots

Solution steps

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

Convert mixed numbers to improper fractions:

2 \frac{2}{3} = \frac{8}{3}

= \frac{4}{5} \cdot \frac{8}{3}

Apply the fraction rule:

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

= \frac{4 \cdot 8}{5 \cdot 3}

Multiply the numbers:

4 \cdot 8 = 32

= \frac{32}{5 \cdot 3}

Multiply the numbers:

5 \cdot 3 = 15

= \frac{32}{15}

Convert improper fractions to mixed numbers:

\frac{32}{15} = 2 \frac{2}{15}

= 2 \frac{2}{15}

2 (- \frac{1}{2})^{3} + 3 (- \frac{1}{2})^{2} - 36 (- \frac{1}{2})

(- x - 5)^{2}

6 (4 c + 2) - 6 (2 c - 2)

4 x^{3} + 5 x^{2} + 100 x + 125

\frac{3 x - 2}{x ^{2} - 1} + \frac{x + 2}{x - 1}