Question

3/4-5/8+1/6_____________ =3/8+7/12-1/2​

Answer 1

Ответ: 7/11

Пошаговое объяснение:

Answer 2

To solve this equation, let's simplify each side separately and then compare the results.

Left-hand side (LHS):

3/4 - 5/8 + 1/6

To add or subtract fractions, we need a common denominator. The least common multiple (LCM) of 4, 8, and 6 is 24.

Multiplying the numerators and denominators to obtain a common denominator of 24, we have:

(3/4) * (6/6) - (5/8) * (3/3) + (1/6) * (4/4) = 18/24 - 15/24 + 4/24 = (18 - 15 + 4)/24 = 7/24

Right-hand side (RHS):

3/8 + 7/12 - 1/2

To add or subtract fractions, we need a common denominator. The least common multiple (LCM) of 8, 12, and 2 is 24.

Multiplying the numerators and denominators to obtain a common denominator of 24, we have:

(3/8) * (3/3) + (7/12) * (2/2) - (1/2) * (12/12) = 9/24 + 14/24 - 12/24 = (9 + 14 - 12)/24 = 11/24

Comparing the results:

LHS = 7/24 RHS = 11/24

Since the LHS is not equal to the RHS, the equation is not true. Therefore, there is no solution to the equation 3/4 - 5/8 + 1/6 = 3/8 + 7/12 - 1/2.