What is (45a^2b)/(30ab) ?

The solution to (45a^2b)/(30ab) is (3a)/2

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simplify (45a^2b)/(30ab)

simplify

\frac{45 a ^{2} b}{30 ab}

\frac{3 a}{2}

Solution steps

\frac{45 a ^{2} b}{30 ab}

Cancel the common factor:

b

= \frac{45 a ^{2}}{30 a}

Factor the number:

45 = 15 \cdot 3

= \frac{15 \cdot 3 a ^{2}}{30 a}

Factor the number:

30 = 15 \cdot 2

= \frac{15 \cdot 3 a ^{2}}{15 \cdot 2 a}

Cancel the common factor:

15

= \frac{3 a ^{2}}{2 a}

Simplify

\frac{a ^{2}}{a} : a

= \frac{3 a}{2}

10 lo g_{10} (\frac{1}{1 0 ^{- 12}})

\frac{( 4 x ^{2} - 4 ) ( 12 x ^{2} - 6 x - 6 )}{2 x ^{3} - 2}

\frac{15}{90}

\frac{8}{( - 2 )}

\frac{30 x ^{3}}{45 x y ^{2}}