Solve the equation x over 4 = 12 over 6

x = 8

Step-by-step explanation:

Solve for x:

x/4 = 12/6

Hint: | Reduce 12/6 to lowest terms. Start by finding the GCD of 12 and 6.

The gcd of 12 and 6 is 6, so 12/6 = (6×2)/(6×1) = 6/6×2 = 2:

x/4 = 2

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of x/4 = 2 by 4:

(4 x)/4 = 4×2

Hint: | Cancel common terms in the numerator and denominator of (4 x)/4.

(4 x)/4 = 4/4×x = x:

x = 4×2

Hint: | Multiply 4 and 2 together.

4×2 = 8:

x = 8