One third of which number must be subtracted from 7/11 to give 24/55
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Let the number be X
A/Q
7/11 - X(1/3) = 24/55
7/11- X/3= 24/55
LCM= 33
21/33-11x/33=24/55
(21-11x)(1/33)=24/55 (Taking 1/33 common)
21-11x= 24/55 x 33(Transposing 1/33 to RHS)
21-11x= 72/5
-11x= 72/5 - 21
-11x= 72/5- 105/5
-11x= -33/5
-x= -33/5 ÷ 11
-x= -3/5
Therefore X= 3/5
the number is 3/5
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