Subtracting Fractions With Like Denominators Worksheets - Free Printable

The task involves solving subtraction problems with fractions that have unlike denominators. The worksheet provides visual representations of the fractions using pie charts, and you need to subtract the given fractions and simplify the result if possible.

Let's solve each problem step by step:

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Problem (1):

- Visual Representation: Cat eats \( \frac{3}{4} \) of a pizza.
- Fraction Sentence: \( \frac{7}{8} - \frac{3}{4} = \)
- Solution:
1. Find a common denominator for \( \frac{7}{8} \) and \( \frac{3}{4} \).
- The denominators are 8 and 4. The least common denominator (LCD) is 8.
2. Rewrite \( \frac{3}{4} \) with a denominator of 8:
\[
\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}
\]
3. Subtract the fractions:
\[
\frac{7}{8} - \frac{6}{8} = \frac{7 - 6}{8} = \frac{1}{8}
\]
4. Simplify if possible (in this case, it is already simplified).

Answer: \( \frac{1}{8} \)

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Problem (2):

- Visual Representation: Nervous Ned eats \( \frac{5}{6} \) of a pizza.
- Fraction Sentence: \( \frac{7}{9} - \frac{5}{6} = \)
- Solution:
1. Find a common denominator for \( \frac{7}{9} \) and \( \frac{5}{6} \).
- The denominators are 9 and 6. The least common denominator (LCD) is 18.
2. Rewrite both fractions with a denominator of 18:
\[
\frac{7}{9} = \frac{7 \times 2}{9 \times 2} = \frac{14}{18}
\]
\[
\frac{5}{6} = \frac{5 \times 3}{6 \times 3} = \frac{15}{18}
\]
3. Subtract the fractions:
\[
\frac{14}{18} - \frac{15}{18} = \frac{14 - 15}{18} = \frac{-1}{18}
\]
4. Simplify if possible (in this case, it is already simplified).

Answer: \( \frac{-1}{18} \)

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Problem (3):

- Visual Representation: Sally Sue eats \( \frac{1}{5} \) of a pizza.
- Fraction Sentence: \( \frac{4}{5} - \frac{1}{5} = \)
- Solution:
1. The denominators are the same (both are 5), so no need to find a common denominator.
2. Subtract the numerators:
\[
\frac{4}{5} - \frac{1}{5} = \frac{4 - 1}{5} = \frac{3}{5}
\]
3. Simplify if possible (in this case, it is already simplified).

Answer: \( \frac{3}{5} \)

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Problem (4):

- Visual Representation: Gloria Guts eats \( \frac{1}{7} \) of a pizza.
- Fraction Sentence: \( \frac{5}{7} - \frac{1}{7} = \)
- Solution:
1. The denominators are the same (both are 7), so no need to find a common denominator.
2. Subtract the numerators:
\[
\frac{5}{7} - \frac{1}{7} = \frac{5 - 1}{7} = \frac{4}{7}
\]
3. Simplify if possible (in this case, it is already simplified).

Answer: \( \frac{4}{7} \)

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Problem (5):

- Visual Representation: Precious Paws eats \( \frac{3}{8} \) of a pizza.
- Fraction Sentence: \( \frac{7}{8} - \frac{3}{8} = \)
- Solution:
1. The denominators are the same (both are 8), so no need to find a common denominator.
2. Subtract the numerators:
\[
\frac{7}{8} - \frac{3}{8} = \frac{7 - 3}{8} = \frac{4}{8}
\]
3. Simplify the fraction:
\[
\frac{4}{8} = \frac{4 \div 4}{8 \div 4} = \frac{1}{2}
\]

Answer: \( \frac{1}{2} \)

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Final Answers:

1. \( \frac{1}{8} \)
2. \( \frac{-1}{18} \)
3. \( \frac{3}{5} \)
4. \( \frac{4}{7} \)
5. \( \frac{1}{2} \)

Boxed Final Answer:
\[
\boxed{\frac{1}{8}, \frac{-1}{18}, \frac{3}{5}, \frac{4}{7}, \frac{1}{2}}
\]