Question

1. ( v - 18 = 13\frac{7}{10} )

Explanation:

Step1: Isolate variable v

Add 18 to both sides.
$v = 13\frac{7}{10} + 18$

Step2: Convert mixed number to fraction

Rewrite $13\frac{7}{10}$ as improper fraction.
$13\frac{7}{10} = \frac{13\times10 + 7}{10} = \frac{137}{10}$

Step3: Add the whole number

Convert 18 to tenth fraction for addition.
$18 = \frac{180}{10}$
$v = \frac{137}{10} + \frac{180}{10}$

Step4: Compute the sum

Add numerators over common denominator.
$v = \frac{137 + 180}{10} = \frac{317}{10}$

Step5: Simplify to mixed number

Convert improper fraction to mixed number.
$\frac{317}{10} = 31\frac{7}{10}$

Answer:

$v = 31\frac{7}{10}$ or $\frac{317}{10}$