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- (5/14 * 7/15) - 5/6

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06 May 2024 09:44

To solve the expression (5/14 * 7/15) - 5/6, we follow these steps: 1. Multiply the fractions: (5/14 * 7/15) = (5 * 7) / (14 * 15) = 35 / 210 2. Subtract 5/6 from the result obtained above: 35 / 210 - 5 / 6 Now, to subtract fractions, we need to find a common denominator. In this case, the least common multiple of 210 and 6 is 210. We convert 5/6 to have the same denominator: 5/6 = (5 * 35) / (6 * 35) = 175 / 210 Subtract the fractions now: 35 / 210 - 175 / 210 Since the denominators are the same, we can subtract the numerators directly: (35 - 175) / 210 = -140 / 210 Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 70: -140 / 210 = -2 / 3 So, the final answer to the expression (5/14 * 7/15) - 5/6 in Russian is -2/3.

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- (5/14 * 7/15) - 5/6
To solve the expression (5/14 * 7/15) - 5/6, we follow these steps: 1. Multiply the fractions: (5/14 * 7/15) = (5 * 7) / (14 * 15) = 35 / 210 2. Subtract 5/6 from the result obtained above: 35 / 210 - 5 / 6 Now, to subtract fractions, we need to find a common denominator. In this case, the least common multiple of 210 and 6 is 210. We convert 5/6 to have the same denominator: 5/6 = (5 * 35) / (6 * 35) = 175 / 210 Subtract the fractions now: 35 / 210 - 175 / 210 Since the denominators are the same, we can subtract the numerators directly: (35 - 175) / 210 = -140 / 210 Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 70: -140 / 210 = -2 / 3 So, the final answer to the expression (5/14 * 7/15) - 5/6 in Russian is -2/3.
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