Hi

Six times the smaller fraction exceeds the larger fraction by 1 1/2

Let x ,(6x- 3/2)represent the smaller and larger fraction respectively

Questions States***

x +(6x- 3/2) = 3[(x -(6x- 3/2)]

solcing for x

 7x - 3/2 = 3x - 3(6x-3/2)

 7x - 3/2 = 3x - 18x + 9/2

    22x  = 12/2

      x = 12/44 = 3/11, smaller of the fractions.  

     Larger is =  (18/11 - 3/2) = (36-33)/22 = 3/22



CHECKING our Answer

   6/22 + 3/22 = 9/22 = 3* 3/22 = 9/22    

RELATED QUESTIONS

the sum of two fraction is 3 times their difference.Six times the smaller fraction... (answered by josgarithmetic)

The difference of two unit fractions is one third of their sum. Find ratio of the larger... (answered by math_helper,ikleyn)

Six times the difference of two positive numbers exceeds 4 by 21.  Three times their sum... (answered by MathLover1)

Four times the larger of 2 numbers exceeds their sum by 25; four times the smaller number  (answered by Maths68)

The larger of two numbers is twice the smaller. Their sum is three times their... (answered by ankor@dixie-net.com)

four times the smaller of two numbers is equal to three times the larger. When the larger  (answered by TimothyLamb)

the larger of two numbers is seven times the smaller. if the sum of the two numbers... (answered by solver91311)

The sum of two numbers is 38. Four times the smaller exceeds three times the larger... (answered by flame8855)

three times the sum of two numbers exceeds twice their difference by five, while half the  (answered by edjones)