Question

13 1/14 - (3 5/21 + 4 6/7) =

Answer 1

Ответ:

Пошаговое объяснение:

8,238095238095238

Answer 2

To simplify the expression, let's first convert all mixed numbers into improper fractions:

13 1/14 = (14 * 13 + 1) / 14 = 183/14 3 5/21 = (21 * 3 + 5) / 21 = 68/21 4 6/7 = (7 * 4 + 6) / 7 = 34/7

Now we can substitute these values into the expression:

183/14 - (68/21 + 34/7)

To add the fractions, we need to find a common denominator. The least common multiple (LCM) of 14, 21, and 7 is 294, so let's use that as the common denominator:

(183/14) - [(68/21) + (34/7)] = (183/14) - [(68/21) * (14/14) + (34/7) * (42/42)] (Multiplying by appropriate fractions to get the common denominator) = (183/14) - [(68 * 14)/(21 * 14) + (34 * 42)/(7 * 42)] (Multiplying the numerators and denominators) = (183/14) - (952/294 + 1428/294) = (183/14) - (2380/294 + 1428/294) = (183/14) - (3808/294)

Now, let's find the difference between these fractions by finding a common denominator:

(183/14) - (3808/294) = [(183 * 294)/(14 * 294)] - [(3808 * 14)/(294 * 14)] = (53802/4116) - (53312/4116)

Now we can subtract the fractions:

(53802 - 53312)/4116 = 490/4116

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor (GCD), which is 14:

490/4116 = (14 * 35)/(14 * 294) = 35/294

The simplified result of the expression is 35/294.