Question

1/5&1/3 find three rational numbers ​

Answer 1

Answer:

Step-by-step explanation:

LCM of 3 and 5 = 15

Numbers are  3/15 and 5/15

Clearly there is only 1 rational number.

So mutliply both the equations by 2/2

Numbers are 6/30 and 10/30

3 rational numbers are-:

7/30, 8/30 and 9/30

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Answer 2

Answer:

Step-by-step explanation:

ANSWER:

There are two Steps:-

• LCM
• Successor Method

Via L.C.M,

The LCM for the Number is 15.

$\frac{1}{5} \times\frac{3}{3} =\frac{3}{15}$

$\frac{1}{3} \times \frac{5}{5} = \frac{5}{15}$

We cannot get three Rational Numbers, So continuing the Process, we will multiply the successor of the number we need to find.

So the number is 4.

$\frac{3}{15} \times \frac{4}{4} = \frac{12}{60}$

$\frac{5}{15} \times \frac{4}{4} = \frac{20}{60}$

Finding any three Fractions,

The Required Fractions are :-

$\boxed{\frac{13}{60} }, \boxed{\frac{14}{60} }, \boxed{\frac{15}{60} }$

Things to Note:-

LCM Method:

In this we find the LCM of the denominators and then find the Rational Numbers.

Second Method:

In this we find the successor of the number we need to find and multiply both the fractions with it.

• Never consider the given Fractions as Included to find .