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The Product of Two Fractions is 14/15 and their Quotient is 35/24. The Greater Fraction is?

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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.

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