Question

the sum of number is 1/8 & 2/5 of a rational numbers is 3 .find the rational number
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Answer 1

Step-by-step explanation:

One number=1/8

Other number=2/5

Sum of rational number =3

Now A/C to the ques,

1/8 +2/5

5+16/40=3

21/40=3

3*40/21=40/7

Thus, the rational number=40/7

Answer 2

CORRECT QUESTION

The sum of number

$2 \frac{1}{8}$

& 2/5 of a rational numbers is 3 .find the rational number.

ANSWER

The rational number is 35/16.

GIVEN

The sum of number

$2 \frac{1}{8}$

& 2/5 of a rational numbers is 3

TO FIND

The rational number.

SOLUTION

We can simply solve the above problem as follows;

Let the rational number be x

ATQ,

$2 \frac{1}{8} + \frac{2}{5}x = 3$

For simplicity, We will convert the given fraction into improper fraction.

$2 \frac{1}{8} = 8 \times 2 + 1 = \frac{17}{8}$

Now,

$\frac{17}{8} + \frac{2}{5} x = 3$

Making the denominator equal.

$\frac{85 + 16x}{40} = 3$

85 + 16x = 120

16x = 120-85

16x = 35

x = 35/16

Hence, The rational number is 35/16.

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