Subjects arithmetic

Fraction Addition 31C959

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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.