when a fraction is reduced to its lowest term, it is equal to 3/4. The numerator of the fraction when doubled would be 34 greater than the denominator. Find the fraction.

6 answers

N = Numerator

D = Denominator

Conditions :

N / D = 3 / 4

2 N = D + 34

N / D = 3 / 4 Multiply both sides by D

N = 3 D / 4

2 N = D + 34

2 * 3 D / 4 = D + 34

6 D / 4 = D + 34 Multiply both sides by 4

6 D = 4 D + 136 Subtract 4 D to both sides

6 D - 4 D = 4 D + 136 - 4 D

2 D = 136 Divide both sides by 2

D = 68

N = 3 D / 4

N = 3 * 68 / 4 = 204 / 4 = 51

51 / 68
Remark :

51 / 68 = 3 * 17 / ( 4 * 17 ) = 3 / 4
Thanks
4 reduced by D
8(2)-6=π100
In a class of 50 students,24 like football,21 basketball and 18 crickets.six like basketball and football only, 3 like basketball only 5 likes all games and 14 did not like any of the three.
I) illustrate this information on a Venn diagram
Ii)find the number of students who like
A) football and cricket only
B) exactly one games