Question

7/9х+2/3х=2 1/3:5 4/7

Answer 1

7/9х+6/9х=7/3*7/39
13/9х=49/117
Х=49/117:13/9=49/117*9/13
Х=49/169

Answer 2

$\frac{7}{9} x + \frac{6}{9} x = \frac{7}{3} \times \frac{7}{39} \\ \frac{13}{9} x = \frac{49}{117} \\ x = \frac{49}{117} \times \frac{9}{13} \\ x = \frac{49}{169}$

Answer 3

To solve the equation 7/9x + 2/3x = 2 1/3 ÷ 5 4/7, let's break it down step by step.

First, let's simplify the right side of the equation, 2 1/3 ÷ 5 4/7:

Step 1: Convert the mixed numbers to improper fractions. 2 1/3 = (2 × 3 + 1) / 3 = 7/3 5 4/7 = (5 × 7 + 4) / 7 = 39/7

Step 2: Divide the fractions. 7/3 ÷ 39/7 = 7/3 × 7/39 = (7 × 7) / (3 × 39) = 49/117

Now, we have the equation: 7/9x + 2/3x = 49/117

Step 3: Find the common denominator. The common denominator for 9 and 3 is 9.

Step 4: Convert the fractions to have a common denominator. 7/9x + 2/3x = (7/9) × (x/1) + (2/3) × (x/1) = 7x/9 + 2x/3

Step 5: Add the fractions with the same denominator. 7x/9 + 2x/3 = (7x + 2x) / 9 = 9x / 9 = x

So, the equation simplifies to x = 49/117.

Therefore, the solution to the equation 7/9x + 2/3x = 2 1/3 ÷ 5 4/7 is x = 49/117.