Question

Multiplying the following equation on both sides by which number would clear the fractions{7/20}x + {3/28} = {4/35} )?

a) 280
b) 140
c) 35
d) 20

Answer 1

To clear the fractions in the equation (7/20)x + (3/28) = (4/35), you need to multiply both sides of the equation by 280. The final result is x = 1/7.

Step-by-step explanation:

To clear the fractions in the equation (7/20)x + (3/28) = (4/35), we need to find the least common multiple (LCM) of the denominators 20, 28, and 35. The LCM of these numbers is 280. Therefore, we need to multiply both sides of the equation by 280 to clear the fractions.

Multiplying 280 on both sides of the equation, we get:

(7/20)x + (3/28) * 280 = (4/35) * 280

Simplifying both sides, we get:

14x + 30 = 32

Subtracting 30 from both sides:

14x = 2

Finally, dividing both sides by 14:

x = 2/14 = 1/7