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Explanation
- The product of two fractions is 14/15.
- Their quotient is 35/24.
- The greater fraction can be find out in this way.
Let suppose two fractions are y and z.
The product of y and z is 14/15.
yz = 14/15 ________ (i)
Quotient is 35/24.
y/z = 35/24 ________ (ii)
By solving both equations, we can easily determine y (y = 7/6) and z (z = 4/5) in order to figure out the greater fraction (y = 7/6).
To Find
Greater Fraction = ?
Solution
Let suppose
Two fractions are y and z.
According to the given conditions
yz = 14/15 ________ (i)
y/z = 35/24 ________ (ii)
By multiplying equation (i) and (ii)
yz x y/z = (14 x 35)/(15 x 24)
y2 = (7 x 7)/(3 x 12)
y2 = 49/36
y = 7/6
Put y = 7/6 in equation (i)
7z/6 = 14/15
105z = 84
z = 84/105
z = 4/5
Greater Fraction = 7/6 answer
Conclusion
The product of two fractions is 14/15 and their quotient is 35/24. The greater fraction is 7/6.
