Math Fractions Worksheets Archives - skoolon.com - Free Printable

Problem Description:

The worksheet focuses on subtracting fractions with like denominators. The tip provided states that when subtracting fractions with the same denominator, the denominator remains the same, and only the numerators are subtracted.

Solution Approach:

1. Identify the Denominators: Ensure that all fractions in a given subtraction problem have the same denominator.
2. Subtract the Numerators: Subtract the numerator of the second fraction from the numerator of the first fraction.
3. Keep the Denominator: The denominator remains unchanged.
4. Simplify if Necessary: If the resulting fraction can be simplified, reduce it to its simplest form.

Step-by-Step Solutions:

#### 1) $\frac{7}{8} - \frac{5}{8}$
- Denominators are the same (8).
- Subtract the numerators: $7 - 5 = 2$.
- Result: $\frac{2}{8}$.
- Simplify: $\frac{2}{8} = \frac{1}{4}$.
- Answer: $\frac{1}{4}$.

#### 2) $\frac{3}{5} - \frac{1}{5}$
- Denominators are the same (5).
- Subtract the numerators: $3 - 1 = 2$.
- Result: $\frac{2}{5}$.
- Answer: $\frac{2}{5}$.

#### 3) $\frac{2}{4} - \frac{1}{4}$
- Denominators are the same (4).
- Subtract the numerators: $2 - 1 = 1$.
- Result: $\frac{1}{4}$.
- Answer: $\frac{1}{4}$.

#### 4) $\frac{4}{6} - \frac{3}{6}$
- Denominators are the same (6).
- Subtract the numerators: $4 - 3 = 1$.
- Result: $\frac{1}{6}$.
- Answer: $\frac{1}{6}$.

#### 5) $1\frac{2}{4} - \frac{3}{4}$
- Convert the mixed number to an improper fraction: $1\frac{2}{4} = \frac{4}{4} + \frac{2}{4} = \frac{6}{4}$.
- Denominators are the same (4).
- Subtract the numerators: $6 - 3 = 3$.
- Result: $\frac{3}{4}$.
- Answer: $\frac{3}{4}$.

#### 6) $1 - \frac{5}{6}$
- Convert 1 to a fraction with denominator 6: $1 = \frac{6}{6}$.
- Denominators are the same (6).
- Subtract the numerators: $6 - 5 = 1$.
- Result: $\frac{1}{6}$.
- Answer: $\frac{1}{6}$.

#### 7) $\frac{3}{4} - \frac{1}{4}$
- Denominators are the same (4).
- Subtract the numerators: $3 - 1 = 2$.
- Result: $\frac{2}{4}$.
- Simplify: $\frac{2}{4} = \frac{1}{2}$.
- Answer: $\frac{1}{2}$.

#### 8) $\frac{4}{5} - \frac{2}{5}$
- Denominators are the same (5).
- Subtract the numerators: $4 - 2 = 2$.
- Result: $\frac{2}{5}$.
- Answer: $\frac{2}{5}$.

#### 9) $\frac{5}{7} - \frac{3}{7}$
- Denominators are the same (7).
- Subtract the numerators: $5 - 3 = 2$.
- Result: $\frac{2}{7}$.
- Answer: $\frac{2}{7}$.

#### 10) $\frac{7}{9} - \frac{2}{9}$
- Denominators are the same (9).
- Subtract the numerators: $7 - 2 = 5$.
- Result: $\frac{5}{9}$.
- Answer: $\frac{5}{9}$.

#### 11) $\frac{8}{10} - \frac{3}{10}$
- Denominators are the same (10).
- Subtract the numerators: $8 - 3 = 5$.
- Result: $\frac{5}{10}$.
- Simplify: $\frac{5}{10} = \frac{1}{2}$.
- Answer: $\frac{1}{2}$.

#### 12) $\frac{7}{8} - \frac{2}{8}$
- Denominators are the same (8).
- Subtract the numerators: $7 - 2 = 5$.
- Result: $\frac{5}{8}$.
- Answer: $\frac{5}{8}$.

Final Answers:

\[
\boxed{
\begin{array}{ll}
1) & \frac{1}{4} \\
2) & \frac{2}{5} \\
3) & \frac{1}{4} \\
4) & \frac{1}{6} \\
5) & \frac{3}{4} \\
6) & \frac{1}{6} \\
7) & \frac{1}{2} \\
8) & \frac{2}{5} \\
9) & \frac{2}{7} \\
10) & \frac{5}{9} \\
11) & \frac{1}{2} \\
12) & \frac{5}{8} \\
\end{array}
}
\]