# How do you solve a/2+ 1/5=17?

Apr 15, 2018

$a = \frac{168}{5}$

#### Explanation:

$\frac{a}{2} + \frac{1}{5} = 17$    Solve for $a$

1) Subtract ⅕ from both sides to isolate the $\frac{a}{2}$ term
a/2 = 16  ⅘

╼ Same as ╼
$\frac{a}{2} = \frac{84}{5}$

2) Isolate $a$ by clearing its denominator
Multiply both sides by $2$ and let the denominator cancel.

$a = \frac{168}{5}$ $\leftarrow$ answer

$\textcolor{w h i t e}{m m m m m m m m}$―――――――――

Check

Check by estimating

The problem says that "a certain amount" (namely, $a \text{/} 2$) must be almost $17$
(It would be exactly $17$ if you added ⅕ to it.)

Therefore the answer for $a$ must be "almost $34$"

$a = \frac{168}{5} = 33$ plus a little more

The answer for $a$ actually is "almost $34$" so it's probably right.

$C h e c k$