Subjects algebra

Mixed Number Fraction 325997

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Question: Convert this mixed number into an improper fraction. 2 3/5 = ?/□
1. **State the problem:** Convert the mixed number $2 \frac{3}{5}$ into an improper fraction. 2. **Recall the formula:** To convert a mixed number $a \frac{b}{c}$ to an improper fraction, use: $$\text{Improper fraction} = \frac{a \times c + b}{c}$$ where $a$ is the whole number, $b$ is the numerator, and $c$ is the denominator. 3. **Apply the formula:** Here, $a=2$, $b=3$, and $c=5$. 4. Calculate the numerator: $$2 \times 5 + 3 = 10 + 3 = 13$$ 5. The denominator remains the same, $5$. 6. **Write the improper fraction:** $$\frac{13}{5}$$ 7. **Final answer:** $$2 \frac{3}{5} = \frac{13}{5}$$