What is 1/2 (x^2)/(2/3) ?

The solution to 1/2 (x^2)/(2/3) is (3x^2)/4

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simplify 1/2 (x^2)/(2/3)

simplify

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

\frac{3 x ^{2}}{4}

Solution steps

\frac{1}{2} \cdot \frac{x ^{2}}{\frac{2}{3}}

Simplify

\frac{x ^{2}}{\frac{2}{3}} : \frac{x ^{2} \cdot 3}{2}

= \frac{1}{2} \cdot \frac{x ^{2} \cdot 3}{2}

Apply the fraction rule:

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

= \frac{1 \cdot x ^{2} \cdot 3}{2 \cdot 2}

Multiply the numbers:

1 \cdot 3 = 3

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

Multiply the numbers:

2 \cdot 2 = 4

= \frac{3 x ^{2}}{4}

5 x^{2} + 20 x + 15

12 a^{2} \times 5 a^{3} \times y^{7}

\frac{7}{2} \cdot 5