X/2 = Y/7 Và 2x-5y=93 Ta đuoc: - Gauthmath

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Question

First, rewrite 1/6 and 2/15 so that they have a common denominator Then, use , = , or to order 1/6 and 2/15 . 1/6 = □ /□ ; 2/15 = □ /□ □ □ =□ x L ? 1/6 2/15 SHOW LESS158

Solution

$$\frac{1}{6} = \frac{5}{30}$$ ; $$\frac{2}{15} = \frac{4}{30}$$ $$\frac{1}{6} > \frac{2}{15}$$

Description: The image shows a math problem that requires rewriting two fractions, 1/6 and 2/15, with a common denominator, and then comparing the two fractions using <, =, or >.

Explanation: Step 1: Find the least common multiple (LCM) of the denominators 6 and 15. The LCM of 6 and 15 is 30. Step 2: Rewrite the fractions with the common denominator of 30. $$\frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30}$$ $$\frac{2}{15} = \frac{2 \times 2}{15 \times 2} = \frac{4}{30}$$ Step 3: Compare the fractions $$\frac{5}{30}$$ and $$\frac{4}{30}$$. Since 5 > 4, then $$\frac{5}{30} > \frac{4}{30}$$, which means $$\frac{1}{6} > \frac{2}{15}$$.

Answer: $$\frac{1}{6} = \frac{5}{30}$$ $$\frac{2}{15} = \frac{4}{30}$$ $$\frac{1}{6} > \frac{2}{15}$$

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