Question

Add. Show Your Work.

Answer 1

Hey there :)

$1 \frac{4}{5} + 1\frac{6}{10}$

Change mixed fraction into an improper fraction
$\frac{9}{5} + \frac{16}{10}$
$\frac{16}{10}$ : are both even numbers, so you can further simplify by dividing by 2
$\frac{16/2}{10/2} = \frac{8}{5}$

To add fractions, we need same denominator to proceed. Here we have no problem since both denominators are 5

$\frac{9}{5}+ \frac{8}{5} = \frac{9+8}{5}$
$\frac{17}{5}$

As a mixed fraction: $3 \frac{2}{5}$
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$2 \frac{3}{4} - 1\frac{2}{8}$

Let us change the mixed fraction into an improper fraction:
$\frac{11}{4} - \frac{10}{8}$
$\frac{10}{8}$ : You can further simplify this since both are divisible by 2
$\frac{10/2}{8/2} = \frac{5}{4}$

We have the same denominator set for subtraction, so you do not have to find common denominators
$\frac{11}{4}- \frac{5}{4} = \frac{11-5}{4}$
$\frac{6}{4}$

As a mixed fraction: $1\frac{2}{4} = 1\frac{1}{2}$