Subjects algebra

Improper Fractions Ffbc52

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1. **State the problem:** We are given two improper fractions: $\frac{28}{5}$ and $\frac{40}{5}$. (a) Express $\frac{28}{5}$ as a mixed number. (b) Express $\frac{40}{5}$ as a whole number. 2. **Recall the formula and rules:** - An improper fraction is a fraction where the numerator is greater than or equal to the denominator. - To convert an improper fraction to a mixed number, divide the numerator by the denominator. - The quotient is the whole number part, and the remainder over the denominator is the fractional part. - If the remainder is zero, the fraction is a whole number. 3. **Convert $\frac{28}{5}$ to a mixed number:** Divide 28 by 5: $$28 \div 5 = 5 \text{ remainder } 3$$ So, $$\frac{28}{5} = 5 \frac{3}{5}$$ 4. **Convert $\frac{40}{5}$ to a whole number:** Divide 40 by 5: $$40 \div 5 = 8 \text{ remainder } 0$$ Since the remainder is zero, $$\frac{40}{5} = 8$$ **Final answers:** (a) $5 \frac{3}{5}$ (b) $8$