What is (4b^2c^2)/(10bc^2) ?

The solution to (4b^2c^2)/(10bc^2) is (2b)/5

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simplify (4b^2c^2)/(10bc^2)

simplify

\frac{4 b ^{2} c ^{2}}{10 b c ^{2}}

\frac{2 b}{5}

Solution steps

\frac{4 b ^{2} c ^{2}}{10 b c ^{2}}

Cancel the common factor:

c^{2}

= \frac{4 b ^{2}}{10 b}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 2 b ^{2}}{10 b}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 2 b ^{2}}{2 \cdot 5 b}

Cancel the common factor:

2

= \frac{2 b ^{2}}{5 b}

Simplify

\frac{b ^{2}}{b} : b

= \frac{2 b}{5}

(10 - 2 x) (20 - 2 x) = 96

3 - 7 z \leq - 18

n^{2} + 14 nm + 33 m^{2}

9 - 16 x^{2}

8 (y + 4) = 7 y + 38