How do you solve #\frac{1}{7} + y = - \frac{3}{14}#?

1 Answer
Sep 13, 2016

The problem is made easier if the fraction's denominators are made equal or eliminated. and then solve for y. y = -5/14

Explanation:

The easiest way to solve this problem is to remove the fractions .
Do this by multiplying both sides by 14 the least common multiple of the the two denominators.

# {(1/7) +y) xx 14 = (-3/14) xx 14 # This gives

2 + 14 y =  -3

Remember if you are trying to find something always work backwards. PEMDAS backwards is PE SAD M
Parthesis and exponents have to be deal with first. Then do SA
subtract or addition which ever comes first. Then do division or multiplication which every comes first
( If you discover you have lost your cell phone in PE Class you are a SAD M(an, or am) PE SAD M

Next subtract 2 from both sides

2-2 + 14 y = -3 -2 This gives.

14 y = -5 Next divide both sides by 14 This gives

#( 14 y)/14 = -5/14 # This gives

y = # -5/14#

Getting rid of the fractions simplifies the problem.