Express in its simplest form:
$$\frac{5-x}{5} + \frac{x-4}{4}$$ - Junior Cycle Mathematics - Question (a) - 2013

Question (a)

Express in its simplest form:
$$\frac{5-x}{5} + \frac{x-4}{4}$$
Worked Solution & Example Answer:Express in its simplest form:
$$\frac{5-x}{5} + \frac{x-4}{4}$$ - Junior Cycle Mathematics - Question (a) - 2013
Combine the Fractions

Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
To combine the fractions, find a common denominator. The denominators are 5 and 4, so the least common multiple is 20. Rewrite each fraction:
55−x=204(5−x)
4x−4=205(x−4)
Now we can combine them:
204(5−x)+5(x−4)
Simplify the Numerator

Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Expand the expression in the numerator:
4(5−x)+5(x−4)=20−4x+5x−20
This simplifies to:
20(20−20)+x=20x
Final Answer

Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Thus, the final answer in simplest form is:
20x
Join the Junior Cycle students using SimpleStudy...
97% of StudentsReport Improved Results
98% of StudentsRecommend to friends
100,000+ Students Supported
1 Million+ Questions answered
;