How do you solve $\frac{a}{40} = \frac{3}{10}$ $a/40 = 3/10$ ?

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How do you solve $\frac{a}{40} = \frac{3}{10}$ $a/40 = 3/10$ ?

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Answer 1 · 2016-02-15T04:00:36

$a = 12$ $a = 12$

:)

Explanation:

Since $\frac{a}{b} = \frac{c}{d}$ $a/b = c/d$ ,

we can use an algebraic technique, to get the value of $a$ $a$ , by isolation and using the golden rule of algebra, "Balancing the equation"

$\frac{a}{40} = \frac{3}{10}$ $a/40 = 3/10$

to isolate $a$ $a$ , we must eliminate $40$ $40$ in the left side of the equation by multiplying it by $40$ $40$ , the golden rule of algebra states that whatever you do in a side of an equation is you also must do it in the other side to keep the equation balanced.

$(40) \frac{a}{40} = \frac{3}{10} (40)$ $(40)a/40 = 3/10(40)$

$(cancel40a)/cancel40 = ((40)(3))/10$

$a = 120/10$ , we can still simplify the answer giving,

$a=12$

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How do you solve $\frac{a}{40} = \frac{3}{10}$ $a/40 = 3/10$ ?

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