What is (4a}{5b^3}+\frac{6a)/2 ?

The solution to (4a}{5b^3}+\frac{6a)/2 is (a(4+15b^3))/(5b^3)

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simplify (4a}{5b^3}+\frac{6a)/2

simplify

\frac{4 a}{5 b ^{3}} + \frac{6 a}{2}

\frac{a ( 4 + 15 b ^{3} )}{5 b ^{3}}

Solution steps

\frac{4 a}{5 b ^{3}} + \frac{6 a}{2}

Least Common Multiplier of

5 b^{3}, 2 : 10 b^{3}

Adjust Fractions based on the LCM

= \frac{8 a}{10 b ^{3}} + \frac{30 a b ^{3}}{10 b ^{3}}

Apply the fraction rule:

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

= \frac{8 a + 30 a b ^{3}}{10 b ^{3}}

Cancel

\frac{8 a + 30 a b ^{3}}{10 b ^{3}} : \frac{a ( 4 + 15 b ^{3} )}{5 b ^{3}}

= \frac{a ( 4 + 15 b ^{3} )}{5 b ^{3}}

\frac{2}{1 + 3}

\frac{180}{36}

lo g_{10} (- 7)

\frac{1}{3 x} - \frac{2}{5}

\frac{4}{5} \div \frac{3}{4}

What is (4a}{5b^3}+\frac{6a)/2 ?
The solution to (4a}{5b^3}+\frac{6a)/2 is (a(4+15b^3))/(5b^3)