Question

Insert rational number between 1/7 and 1/8

Answer 1

Answer:

LCM OF 1/7 and 1/8

8/56 , 7/56

8/56 × 2

7/56 × 2

like this you can go on and on

Answer 2

The required rational number is 15/112.

Given:

Two rational numbers: 1/7 and 1/8.

To Find:

A rational number between the given rational numbers.

Solution:

We are given two rational numbers 1/6 and 1/7. To find a rational number between them, we need to find convert them into like fractions by finding their LCM.

The LCM of 7 and 8 = 56.

1/7 x (8/8) = 8/56 and 1/8 x (7/7) = 7/56.

Hence, 8/56 and 7/56 are equivalent fractions of 1/7 and 1/8. Hence our question is to find a rational number between 8/56 and 7/56.

Since we want a single rational number between 8/56 and 7/56, we will multiply the numerator and the denominator of both the fractions by 2.

8/56 x (2/2) = 16/112 and 7/56 x (2/2) =14/112.

A rational number between 14/112 and 16/112 is 15/112.

⇒ A rational number between 8/56 and 7/56 is 15/112.

⇒ A rational number between 1/7 and 1/8 is 15/112.

Hence, the required rational number is 15/112.

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