Adding and Subtracting Fractions Coloring Worksheet (Valentines Day Edition) - Free Printable

Let’s solve the two fraction problems shown on the worksheet.

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Problem 1:
We are given:
> $-\frac{3}{4} + \frac{2}{3}$

Step 1: Find a common denominator for 4 and 3.
The least common denominator (LCD) of 4 and 3 is 12.

Step 2: Convert each fraction to have denominator 12.
- $-\frac{3}{4} = -\frac{3 \times 3}{4 \times 3} = -\frac{9}{12}$
- $\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}$

Step 3: Add them together.
$-\frac{9}{12} + \frac{8}{12} = \frac{-9 + 8}{12} = -\frac{1}{12}$

✔ So, the answer to Problem 1 is $-\frac{1}{12}$

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Problem 5:
We are given:
> $-\frac{9}{10} - \frac{3}{5}$

Step 1: Find a common denominator for 10 and 5.
The LCD is 10.

Step 2: Convert $\frac{3}{5}$ to have denominator 10.
$\frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10}$

Step 3: Rewrite the problem with same denominators.
$-\frac{9}{10} - \frac{6}{10}$

Step 4: Subtract the numerators.
$-\frac{9 + 6}{10} = -\frac{15}{10}$

Step 5: Simplify the fraction.
Divide numerator and denominator by 5:
$-\frac{15 ÷ 5}{10 ÷ 5} = -\frac{3}{2}$

You can also write this as a mixed number: $-1\frac{1}{2}$, but since the coloring key uses improper fractions or negatives like “-1 1/2”, we’ll keep it as $-\frac{3}{2}$ or match the format used in the figure — which shows answers like “-1 1/2” written as “-1½”.

Looking at the colored figure, you can see that “-1 1/2” appears multiple times — so likely they want it written as a mixed number.

So, $-\frac{3}{2} = -1\frac{1}{2}$

✔ Answer to Problem 5 is $-1\frac{1}{2}$

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Final Answer:
Problem 1: $-\frac{1}{12}$
Problem 5: $-1\frac{1}{2}$