Solving algebraic equations with fractions

Solving equations with fractions is not as complicated as it seems . Here are some examples to prove this to you:
equations with  fractions 1

 Before adding or subtracting any fraction the denominator (bottom number) needs to be the same. To get the common denominator, multiply the first fraction by 2 and the next two fractions by 9.

equation with  fractions 2

After getting to a common denominator the bottom of the fraction does not need to be copied, because the equation has the same value without it:

2(x+7)-27=9(x-3) after expanding the brackets the equation becomes:

2x+2*7 27=9x-9*3

2x+14-27=9x-27

All terms containing x will be moved on one side of the “=” sign and the rest of the terms need to be moved on the other side on the “=” sign.

14 -27+27=9x-2x

7x=14

x=2

Primary tutor

QTS numeracy tutors

Biology tutor

11+ Maths tuition

QTS numeracy practice

 

 

Print Friendly