Question

4 5/14 + (5 1/12 - 3 4/21) =Хелп)​

Answer 1

Ответ:

=61/14+53/28=25/4 или 6,25

Пошаговое объяснение:

Answer 2

Ответ:

6$\frac{1}{4}$

Пошаговое объяснение:

4$\frac{5}{14}$ + (5$\frac{1}{12}$ - 3$\frac{4}{21}$) = 6$\frac{1}{4}$

1) 5$\frac{1}{12}$ -  3$\frac{4}{21}$ = $\frac{61}{12}$ - $\frac{67}{21}$ = $\frac{427}{84}$ - $\frac{268}{84}$ = $\frac{159}{84}$ = 1$\frac{75}{84}$ = 1 $\frac{25}{28}$

2) 4$\frac{5}{14}$ + 1$\frac{25}{28}$ = $\frac{61}{14}$ + $\frac{53}{28}$ =$\frac{122}{28}$ +$\frac{53}{28}$ = $\frac{175}{28}$ = 6$\frac{7}{28}$ = 6$\frac{1}{4}$

Answer 3

To solve the expression, let's break it down step by step:

First, let's simplify the expression inside the parentheses: 5 1/12 - 3 4/21

To subtract mixed numbers, we need to convert them to improper fractions: 5 1/12 = (5 * 12 + 1) / 12 = 61/12 3 4/21 = (3 * 21 + 4) / 21 = 67/21

Now we can subtract the fractions: (61/12) - (67/21)

To subtract fractions, we need to find a common denominator: The least common multiple (LCM) of 12 and 21 is 84.

Now, we can rewrite the fractions with a common denominator: (61/12) - (67/21) = (61/12) * (7/7) - (67/21) * (4/4) = (61 * 7)/(12 * 7) - (67 * 4)/(21 * 4) = 427/84 - 268/84

Now that the fractions have the same denominator, we can subtract them: 427/84 - 268/84 = (427 - 268)/84 = 159/84

Next, let's simplify the mixed number 4 5/14: 4 5/14 = (4 * 14 + 5) / 14 = 57/14

Now we can add the fractions: 57/14 + 159/84

To add fractions, we need to find a common denominator. The LCM of 14 and 84 is 84.

Now, we can rewrite the fractions with a common denominator: 57/14 + 159/84 = (57/14) * (6/6) + (159/84) * (1/1) = (57 * 6)/(14 * 6) + (159 * 1)/(84 * 1) = 342/84 + 159/84

Now that the fractions have the same denominator, we can add them: 342/84 + 159/84 = (342 + 159)/84 = 501/84

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor (GCD): The GCD of 501 and 84 is 3.

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

Therefore, the value of the expression 4 5/14 + (5 1/12 - 3 4/21) is 167/28.