Question

Solve the following equation by adding the same fraction on both sides
x + 1/4 = -3/8​

Answer 1

Answer:

x= -5/8

Step-by-step explanation:

The method we're going to use is balancing method. In this method, we add an equal value to both RHS and LHS to balance out the equation.

So over here, we'll use the fraction -1/4 to balance out the equation. We'll add -1/4 to each side of the equation.

x + 1/4 + (-1/4) = -3/8 + (-1/4)

If we open the brackets, we get:

x + 1/4 - 1/4= -3/8 - 1/4

x= -3/8 - 1/4

-3/8 and -1/4 are not like fractions. So lets make them like fractions.

We'll find the LCM of denominator values. The LCM of 8 and 4 is 8.

-1 x 2/ 4 x 2= -2/8

x= -3/8 - 2/8

x= -5/8

Hope this helps!

Answer 2

Answer:

$\frac{ - 5}{8}$

Step-by-step explanation:

$x + \frac{1}{4} = \frac{ - 3}{8}$

$x = \frac{ -3}{8} - \frac{ 1}{4}$

$x = \frac{ - 3 - 2}{8}$

$x = - \frac{ - 5}{8}$

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