Question

Add and simplify.
(x/4)+ (x/6) +(x/8) =1

Answer 1

Step by step solution :

Answer 2

Step 1 :

x x
Simplify — + —
4 6

Answer 3

Simplify each parenthesis.

Answer 4

Calculating the Least Common Multiplier :
Find the Least Common Multiple (L.C.M)
The left denominator is : 4
The right denominator is : 6
Factor the left and right denominators, counting
the number of times each factor appears :

Answer 5

So the Least Common Multiple is 12

Answer 6

Then Calculate multipliers for the two fractions

L.C.M
L. Multiplier = —————————————— = 3
L. Denominator


L.C.M
R. Multiplier = —————————————— = 2
R. Denominator

Answer 7

Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

Answer 8

L. Mult. • L. Num. x • 3
—————————————————— = —————
L.C.M 12

R. Mult. • R. Num. x • 2
—————————————————— = —————
L.C.M 12

Answer 9

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 3 + x • 2 5x
————————————— = ——
12 12

Answer 10

Equation at the end of step 1 :

5x x
(—— + —) - 1 = 0
12 8

Step 2 :

5x x
Simplify —— + —
12 8

Answer 11

are you understanding>

Answer 12

after that Find the Least Common Multiple (L.C.M)

The left denominator is : 12

The right denominator is : 8

Answer 13

Least Common Multiple: 24