What is 5/(16x^3y^2)+5/(6x^2y) ?

The solution to 5/(16x^3y^2)+5/(6x^2y) is (15+40xy)/(48x^3y^2)

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simplify 5/(16x^3y^2)+5/(6x^2y)

simplify

\frac{5}{16 x ^{3} y ^{2}} + \frac{5}{6 x ^{2} y}

\frac{15 + 40 x y}{48 x ^{3} y ^{2}}

Solution steps

\frac{5}{16 x ^{3} y ^{2}} + \frac{5}{6 x ^{2} y}

Least Common Multiplier of

16 x^{3} y^{2}, 6 x^{2} y : 48 x^{3} y^{2}

Adjust Fractions based on the LCM

= \frac{15}{48 x ^{3} y ^{2}} + \frac{40 x y}{48 x ^{3} y ^{2}}

Apply the fraction rule:

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

= \frac{15 + 40 x y}{48 x ^{3} y ^{2}}

(2 a^{2} b^{3} c)^{4}

(\frac{5}{8})^{- 2}

117

25 + 4

3 x^{2} - 10 x = 25

What is 5/(16x^3y^2)+5/(6x^2y) ?
The solution to 5/(16x^3y^2)+5/(6x^2y) is (15+40xy)/(48x^3y^2)