Write each fraction in terms of the LCM of the denominators. \frac{5}

Jason Farmer

Jason Farmer

Answered question

2021-10-19

Write each fraction in terms of the LCM of the denominators.
57y4=
37y+4=

Answer & Explanation

Neelam Wainwright

Neelam Wainwright

Skilled2021-10-20Added 102 answers

Step 1
First of all find the LCM of the given denominators of both the fractions.
Therefore, LCM of (7y4) and (7y+4) is (7y4)(7y+4).
Step 2
Now, find the factor by which we need to rationalize the fractions by dividing the LCM with the denominator of the fractions.
Therefore, the factor of rationalization for first fraction is (7y+4) and for second fraction is (7y4).
(7y4)(7y+4)(7y4)=(7y+4)
(7y4)(7y+4)(7y+4)=(7y4)
Step 3
Finally, rationalize both the fractions to get the answer.
5(7y4)×(7y+4)(7y+4)=35y+20(7y4)(7y+4)
3(7y+4)×(7y4)(7y4)=21y+21(7y4)(7y+4)

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