Subjects algebra

Order Fractions Cc05E1

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1. **State the problem:** We need to order the fractions $\frac{3}{5}$, $\frac{3}{7}$, $\frac{3}{4}$, and $\frac{3}{8}$ from least to greatest. 2. **Formula and rule:** To compare fractions with the same numerator, compare their denominators. The fraction with the larger denominator is smaller because the whole is divided into more parts. 3. **Compare denominators:** - $\frac{3}{8}$ has denominator 8 - $\frac{3}{7}$ has denominator 7 - $\frac{3}{5}$ has denominator 5 - $\frac{3}{4}$ has denominator 4 4. **Order from least to greatest:** Since larger denominators mean smaller fractions, the order is: $$\frac{3}{8} < \frac{3}{7} < \frac{3}{5} < \frac{3}{4}$$ 5. **Final answer:** The fractions in order from least to greatest are $\frac{3}{8}$, $\frac{3}{7}$, $\frac{3}{5}$, $\frac{3}{4}$.