Question

3 4/21-5 1/12-(4 5/14)

Answer 1

Ответ:

-6.25

Пошаговое объяснение:

$3\frac{4}{21}-5\frac{1}{12}-4\frac{5}{14}=\frac{67}{21}-\frac{61}{12}-\frac{61}{14}=\frac{268-427-366}{84}=\frac{-525}{84}=-6.25$

Answer 2

To subtract the expression "3 4/21-5 1/12-(4 5/14)," we need to convert all the mixed fractions into improper fractions. Let's break down the calculation step by step:

Step 1: Convert mixed fractions to improper fractions: 3 4/21 = (3 * 21 + 4)/21 = 67/21 5 1/12 = (5 * 12 + 1)/12 = 61/12 4 5/14 = (4 * 14 + 5)/14 = 57/14

Now we have: 67/21 - 61/12 - 57/14

Step 2: Find a common denominator: To subtract fractions, we need a common denominator. The least common multiple (LCM) of 21, 12, and 14 is 84.

67/21 = (67 * 4)/ (21 * 4) = 268/84 61/12 = (61 * 7)/ (12 * 7) = 427/84 57/14 = (57 * 6)/ (14 * 6) = 342/84

Now we have: 268/84 - 427/84 - 342/84

Step 3: Subtract the fractions: To subtract fractions with the same denominator, we subtract the numerators while keeping the denominator the same.

268/84 - 427/84 - 342/84 = (268 - 427 - 342)/84 = -501/84

Step 4: Simplify the fraction: To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 501 and 84 is 3.

-501/84 = (-501/3) / (84/3) = -167/28

Therefore, the expression "3 4/21-5 1/12-(4 5/14)" simplifies to -167/28.