Question

Find the equivalent equation that does not contain fractions 2/3 x 7=1/2

Answer 1

`4x + 42 = 3`

Explanation:

Given:

`(2)/(3)x + 7 = (1)/(2)`

Required

Equivalent expression without fraction

To do this, we simply multiply through by a common multiple of the denominators in the expression.

The denominators are 2 and 3

`2 = 2,4,6,8,10,..`

`3 = 3,6,9,12..`

So, 6 is the least common multiple.

Multiply both sides by 6

`6 * ((2)/(3)x + 7) = (1)/(2) * 6`

`6 *(2)/(3)x + 6*7 = (1)/(2) * 6`

`(12)/(3)x + 42 = (6)/(2)`

`4x + 42 = 3`

Hence, an equivalent expression.