Explanation:
We are subtracting simple fractions that have the
same denominator (bottom number). When denominators are the same, we just subtract the numerators (top numbers) and keep the denominator the same.
Let’s go one by one:
1)
$\frac{3}{3} - \frac{1}{3}$
→ Numerators: $3 - 1 = 2$
→ Denominator stays 3
→ So: $\frac{2}{3}$
✔ Check: $\frac{3}{3} = 1$, and $1 - \frac{1}{3} = \frac{2}{3}$ — correct.
2)
$\frac{7}{7} - \frac{6}{7}$
→ $7 - 6 = 1$
→ Denominator = 7
→ So: $\frac{1}{7}$
✔ Check: $\frac{7}{7} = 1$, $1 - \frac{6}{7} = \frac{1}{7}$
3)
$\frac{7}{9} - \frac{4}{9}$
→ $7 - 4 = 3$
→ Denominator = 9
→ So: $\frac{3}{9}$
But $\frac{3}{9}$ can be simplified: divide numerator and denominator by 3 → $\frac{1}{3}$
However, the problem says “Visually Subtracting Simple Fractions” and shows circles divided into equal parts — it likely expects the answer in the same denominator as given (unsimplified), unless told to simplify. Looking at the visual setup (e.g., circle divided into 9 parts), they probably want $\frac{3}{9}$, but many teachers accept simplified form. Let’s double-check other problems.
4)
$\frac{4}{11} - \frac{3}{11} = \frac{1}{11}$
No simplification needed.
5)
$\frac{8}{9} - \frac{4}{9} = \frac{4}{9}$
Already simplified.
Now, back to #3: In elementary visual fraction subtraction like this (especially with matching diagrams), answers are usually left with the same denominator as the problem unless simplification is explicitly requested. The worksheet does
not say “simplify,” and all other answers (like #1: $\frac{2}{3}$, not 2/3 simplified further — it's already simplest) are in lowest terms *naturally*. $\frac{3}{9}$ is not in lowest terms, so most likely they expect simplification.
Wait — let’s check #1: $\frac{3}{3} - \frac{1}{3} = \frac{2}{3}$ — that’s already simplified.
#2: $\frac{1}{7}$ — simplified.
#4: $\frac{1}{11}$ — simplified.
#5: $\frac{4}{9}$ — simplified.
So for consistency, #3 should also be simplified: $\frac{3}{9} = \frac{1}{3}$
Yes — standard practice in such worksheets is to give answers in simplest form unless stated otherwise.
Final answers:
1) $\frac{2}{3}$
2) $\frac{1}{7}$
3) $\frac{1}{3}$
4) $\frac{1}{11}$
5) $\frac{4}{9}$
Let me verify each again quickly:
1) 3/3 = 1, 1 − 1/3 = 2/3 ✔
2) 7/7 = 1, 1 − 6/7 = 1/7 ✔
3) 7/9 − 4/9 = 3/9 = 1/3 ✔
4) 4/11 − 3/11 = 1/11 ✔
5) 8/9 − 4/9 = 4/9 ✔
All correct.
Final Answer:
1) $\frac{2}{3}$
2) $\frac{1}{7}$
3) $\frac{1}{3}$
4) $\frac{1}{11}$
5) $\frac{4}{9}$
Parent Tip: Review the logic above to help your child master the concept of worksheet subtraction of fractions.