What is a(0.1)/6*5/9 ?

The solution to a(0.1)/6*5/9 is a/(108)

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simplify a(0.1)/6*5/9

simplify

a \frac{0.1}{6} \cdot \frac{5}{9}

\frac{a}{108}

Solution steps

a \frac{0.1}{6} \cdot \frac{5}{9}

\frac{0.1}{6} = \frac{1}{60}

= a \frac{1}{60} \cdot \frac{5}{9}

= \frac{1}{60} \cdot \frac{5}{9} a

Apply the fraction rule:

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

= \frac{1 \cdot 5 a}{60 \cdot 9}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5 a}{60 \cdot 9}

Factor the number:

60 = 5 \cdot 12

= \frac{5 a}{5 \cdot 12 \cdot 9}

Cancel the common factor:

5

= \frac{a}{12 \cdot 9}

Multiply the numbers:

12 \cdot 9 = 108

= \frac{a}{108}

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