Fraction Addition 31C959
1. **Stating the problem:** Fatima claims that if she adds the fractions $\frac{1}{4}$ and $\frac{3}{4}$, she will get one whole. We need to verify if this is correct.
2. **Formula used:** To add fractions, the denominators must be the same. If they are, add the numerators and keep the denominator the same:
$$\frac{a}{b} + \frac{c}{b} = \frac{a+c}{b}$$
3. **Applying the formula:** Here, the fractions are $\frac{1}{4}$ and $\frac{3}{4}$, both with denominator 4.
4. **Add the numerators:**
$$1 + 3 = 4$$
5. **Write the sum:**
$$\frac{1}{4} + \frac{3}{4} = \frac{4}{4}$$
6. **Simplify the fraction:**
$$\frac{4}{4} = 1$$
7. **Conclusion:** The sum of $\frac{1}{4}$ and $\frac{3}{4}$ is exactly 1, which means Fatima is correct.
This means adding these two fractions results in one whole.