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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