Question

The Product Of A Fraction And Sum Of 2 3/4 And 3 1/2 Is 5. Find The Fraction

Answer 1

Answer:

Required fraction is 4/5.

Step-by-step explanation:

So first computing sum of

$2 \frac{3}{4} \: \: \: and \: 3 \frac{1}{2}$

which is as follows:

$\frac{11}{4} + \frac{7}{2} = \frac{11}{4} + \frac{14}{4} = \frac{25}{4}$

Now given that a fraction multiplied by 25/4 gives five.

So we proceed as follows:

Let the required fraction be x.

$x \times \frac{25}{4} = 5 \\ x \times 25 = 5 \times 4 \\ x \times 25 = 20 \\ x = \frac{20}{25} = \frac{4}{5}$

Thus required fraction is 4/5.

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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