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Math worksheet for subtracting fractions with like denominators using circles.

A math worksheet titled "Subtract Fractions with Like Denominators Using Circles Sheet 1" featuring five problems where students shade circles to represent fractions, cross out the amount eaten, and fill in the fraction sentence to solve subtraction problems involving fractions with like denominators.

A math worksheet titled "Subtract Fractions with Like Denominators Using Circles Sheet 1" featuring five problems where students shade circles to represent fractions, cross out the amount eaten, and fill in the fraction sentence to solve subtraction problems involving fractions with like denominators.

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Show Answer Key & Explanations Step-by-step solution for: Subtracting Fractions With Like Denominators Worksheets

Problem Overview:


The task involves subtracting fractions with like denominators using circles to represent the fractions. The goal is to shade the correct fraction of the pizza, cross out the amount eaten, and then fill in the fraction sentence.

Step-by-Step Solution:



#### Problem 1:
- Fraction: Captain has \( \frac{5}{8} \) of the pizza.
- Eaten: He eats \( \frac{2}{8} \).
- What fraction is left?

Solution:
1. Start with \( \frac{5}{8} \).
2. Subtract \( \frac{2}{8} \):
\[
\frac{5}{8} - \frac{2}{8} = \frac{5 - 2}{8} = \frac{3}{8}
\]
3. Shade \( \frac{5}{8} \) of the circle and cross out \( \frac{2}{8} \). The remaining shaded part represents \( \frac{3}{8} \).

Answer:
\[
\frac{5}{8} - \frac{2}{8} = \frac{3}{8}
\]

#### Problem 2:
- Fraction: Newton has \( \frac{4}{6} \) of the pizza.
- Eaten: He eats \( \frac{1}{6} \).
- What fraction is left?

Solution:
1. Start with \( \frac{4}{6} \).
2. Subtract \( \frac{1}{6} \):
\[
\frac{4}{6} - \frac{1}{6} = \frac{4 - 1}{6} = \frac{3}{6}
\]
3. Simplify \( \frac{3}{6} \) to \( \frac{1}{2} \).
4. Shade \( \frac{4}{6} \) of the circle and cross out \( \frac{1}{6} \). The remaining shaded part represents \( \frac{3}{6} \) or \( \frac{1}{2} \).

Answer:
\[
\frac{4}{6} - \frac{1}{6} = \frac{3}{6} = \frac{1}{2}
\]

#### Problem 3:
- Fraction: Sally has \( \frac{4}{5} \) of the pizza.
- Eaten: She eats \( \frac{3}{5} \).
- What fraction is left?

Solution:
1. Start with \( \frac{4}{5} \).
2. Subtract \( \frac{3}{5} \):
\[
\frac{4}{5} - \frac{3}{5} = \frac{4 - 3}{5} = \frac{1}{5}
\]
3. Shade \( \frac{4}{5} \) of the circle and cross out \( \frac{3}{5} \). The remaining shaded part represents \( \frac{1}{5} \).

Answer:
\[
\frac{4}{5} - \frac{3}{5} = \frac{1}{5}
\]

#### Problem 4:
- Fraction: Flame has \( \frac{5}{7} \) of the pizza.
- Eaten: She eats \( \frac{3}{7} \).
- What fraction is left?

Solution:
1. Start with \( \frac{5}{7} \).
2. Subtract \( \frac{3}{7} \):
\[
\frac{5}{7} - \frac{3}{7} = \frac{5 - 3}{7} = \frac{2}{7}
\]
3. Shade \( \frac{5}{7} \) of the circle and cross out \( \frac{3}{7} \). The remaining shaded part represents \( \frac{2}{7} \).

Answer:
\[
\frac{5}{7} - \frac{3}{7} = \frac{2}{7}
\]

#### Problem 5:
- Fraction: Frazer has \( \frac{7}{8} \) of the pizza.
- Eaten: He eats \( \frac{4}{8} \).
- What fraction is left?

Solution:
1. Start with \( \frac{7}{8} \).
2. Subtract \( \frac{4}{8} \):
\[
\frac{7}{8} - \frac{4}{8} = \frac{7 - 4}{8} = \frac{3}{8}
\]
3. Shade \( \frac{7}{8} \) of the circle and cross out \( \frac{4}{8} \). The remaining shaded part represents \( \frac{3}{8} \).

Answer:
\[
\frac{7}{8} - \frac{4}{8} = \frac{3}{8}
\]

Final Answers:


1. \(\frac{5}{8} - \frac{2}{8} = \frac{3}{8}\)
2. \(\frac{4}{6} - \frac{1}{6} = \frac{3}{6} = \frac{1}{2}\)
3. \(\frac{4}{5} - \frac{3}{5} = \frac{1}{5}\)
4. \(\frac{5}{7} - \frac{3}{7} = \frac{2}{7}\)
5. \(\frac{7}{8} - \frac{4}{8} = \frac{3}{8}\)

\[
\boxed{\frac{3}{8}, \frac{1}{2}, \frac{1}{5}, \frac{2}{7}, \frac{3}{8}}
\]
Parent Tip: Review the logic above to help your child master the concept of worksheet on subtracting like fractions.
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