# How do you solve #-\frac { 5} { 4} a + \frac { 1} { 5} a = - \frac { 21} { 50}#?

##### 3 Answers

#### Explanation:

Get both terms on the left side to have the same denominator, in this case

when dividing one fraction by another, we can flip the numerator and denominator of the fraction to be divided.

Check the solution By substituting in

Arrange the equation and get

#### Explanation:

due to the fact that

#### Explanation:

#"one way is to multiply all terms by the "#

#color(blue)"lowest common multiple of 4, 5 and 50"#

#"the lowest common multiple is 100"#

#cancel(100)^(25)xx-5/cancel(4)^1 a+cancel(100)^(20)/cancel(5)^1 a=cancel(100)^2xx-21/cancel(50)^1#

#rArr-125a+20a=-42larrcolor(blue)"no fractions"#

#rArr-105a=-42#

#"divide both sides by "-105#

#(cancel(-105) a)/cancel(-105)=(-42)/(-105)#

#rArra=42/105=2/5#