Question

Question
Solve for x.



1/4+1/2+x=−3/4

Answer 1

x =
`-1 \frac {1}{2}`

Explanation:

1/4+1/2+x=−3/4

Firstly Solve 1/4 + 1/2

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(1/4, 1/2) = 4

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(1/4×1/1)+(1/2×2/2)=?

Complete the multiplication and the equation becomes

1/4+2/4=?

The two fractions now have like denominators so you can add the numerators.

Then:

1+2/4=3/4

3/4 + x = - 3/4

Substract 3/4 from both sides

3/4 -3/4 + x = -3/4 - 3/4

x = -3/4 - 3/4

Let's calculate -3/4-3/4

−3−3/4=−6/4

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 6 and 4 using

GCF(6,4) = 2

−6÷2/4÷2=−3/2 =
`-1 \frac {1}{2}`

So, The answer to x is
`-1 \frac {1}{2}`