What is T In the equation 3/7+t=20/21

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asked Sep 17, 2020 108k views

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What is T In the equation 3/7+t=20/21

Mathematics
middle-school

Steve Smith asked

by Steve Smith

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1 Answer

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Answer:

$\large\boxed{t=(11)/(21)}$

Explanation:

$(3)/(7)+t=(20)/(21)\qquad\text{subtract}\ (3)/(7)\ \text{from both sides}\\\\(3)/(7)-(3)/(7)+t=(20)/(21)-(3)/(7)\qquad\text{LCD(7, 21)=21}\\\\t=(20)/(21)-(3\cdot3)/(7\cdot3)\\\\t=(20)/(21)-(9)/(21)\\\\t=(20-9)/(21)\\\\t=(11)/(21)$

Heba answered Sep 23, 2020

by Heba

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