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.