Question

The product of a fraction and the sum of 2 3/4and 3 1/2 is 5. What is the fraction?

Answer 1

Answer:

let the fraction be X.

then,

product of their numbers is 5.

sum of numbers is 23/4+31/2

so,

23x/4+31x/2=5

lcm of 4 and 2=4

(23x+62x)/4=5

85x/4=5

85x=5×4

85x=20

x=20/85

x=4/17

so, 4/17 is the fraction.

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Answer 2

Answer:

let the fraction be X.

then,

product of their numbers is 5.

sum of numbers is 23/4+31/2

so,

23x/4+31x/2=5

lcm of 4 and 2=4

(23x+62x)/4=5

85x/4=5

85x=5×4

85x=20

x=20/85

x=4/17

so, 4/17 is the fraction.

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