Let's solve each part of the problem step by step.
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Problem 1:
We are given a rectangle divided into
5 equal parts, with
3 parts shaded (in blue). The fraction shown is:
$$
\frac{3}{5}
$$
We are asked to write this as an
addition expression using unit fractions.
A
unit fraction is a fraction with numerator 1, like $\frac{1}{5}$, $\frac{1}{3}$, etc.
Since $\frac{3}{5}$ means 3 parts out of 5, and each part is $\frac{1}{5}$, we can express it as:
$$
\frac{3}{5} = \frac{1}{5} + \frac{1}{5} + \frac{1}{5}
$$
✔ So the completed expression is:
$$
\frac{3}{5} = \frac{1}{5} + \frac{1}{5} + \frac{1}{5}
$$
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Problem 2:
We are given a rectangle divided into
7 equal parts, with
5 parts shaded (in red). The fraction shown is:
$$
\frac{5}{7}
$$
Again, we need to write this as an
addition expression using unit fractions.
Each part is $\frac{1}{7}$, and there are 5 shaded parts. So:
$$
\frac{5}{7} = \frac{1}{7} + \frac{1}{7} + \frac{1}{7} + \frac{1}{7} + \frac{1}{7}
$$
✔ So the completed expression is:
$$
\frac{5}{7} = \frac{1}{7} + \frac{1}{7} + \frac{1}{7} + \frac{1}{7} + \frac{1}{7}
$$
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✔ Final Answers:
1)
$$
\frac{3}{5} = \frac{1}{5} + \frac{1}{5} + \frac{1}{5}
$$
2)
$$
\frac{5}{7} = \frac{1}{7} + \frac{1}{7} + \frac{1}{7} + \frac{1}{7} + \frac{1}{7}
$$
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📌 Explanation:
- A
non-unit fraction (like $\frac{3}{5}$ or $\frac{5}{7}$) represents multiple equal parts.
- A
unit fraction has a numerator of 1.
- To write a non-unit fraction as a sum of unit fractions, you add up that many copies of the unit fraction (e.g., $\frac{1}{5}$ added 3 times gives $\frac{3}{5}$).
This helps understand fractions as repeated additions of unit fractions.
Parent Tip: Review the logic above to help your child master the concept of unit fraction worksheets.
