Question

5/7a +3/14a при a=4 2/3; 7/13

Answer 1

$(\frac{5}{7} + \frac{3}{14} )a = \frac{10 + 3}{14} a = \frac{13}{14} a = \frac{13}{14} \times \frac{14}{3} = \frac{13}{3} = 4 \frac{1}{3} \\ \frac{13}{14} \times \frac{7}{13} = \frac{1}{2}$

Answer 2

To evaluate 5/7a + 3/14a when a = 4 2/3, we need to substitute this value of a into the expression:

5/7a + 3/14a = 5/7(4 2/3) + 3/14(4 2/3)

First, let's convert 4 2/3 to an improper fraction:

4 2/3 = (4 x 3 + 2)/3 = 14/3

Substituting a = 4 2/3 = 14/3 into the expression, we get:

5/7a + 3/14a = 5/7(14/3) + 3/14(14/3)

Next, we simplify each term by finding a common denominator:

5/7(14/3) = 10/3 3/14(14/3) = 3

Therefore:

5/7a + 3/14a = 10/3 + 3 = 19/3

So, when a = 4 2/3, the value of the expression is 19/3.

To evaluate 5/7a + 3/14a when a = 7/13, we substitute this value of a into the expression:

5/7a + 3/14a = 5/7(7/13) + 3/14(7/13)

We simplify each term by finding a common denominator:

5/7(7/13) = 5/13 3/14(7/13) = 3/26

Therefore:

5/7a + 3/14a = 5/13 + 3/26 = 31/78

So, when a = 7/13, the value of the expression is 31/78.