Question

find a rational number that is one seventh of the way from 1 whole 3/4 and 4 whole 3/8​

Answer 1

Given:

1 whole 3/4 and 4 whole 3/8​

To find:

Find a rational number that is one seventh of the way from 1 whole 3/4 and 4 whole 3/8​.

Solution:

From given, we have,

1 whole 3/4

⇒ 1 3/4

⇒ 7/4

∴ 1 whole 3/4 = 7/4

and 4 whole 3/8​

⇒ 4 3/8

⇒ 35/8

∴ 4 whole 3/8 = 35/8

Let, a = 7/4 and b = 35/8

Using the formula, a + q (b - a), we can find a rational number that is one seventh of the way from 1 whole 3/4 and 4 whole 3/8​.

= 7/4 + 1/7 (35/8 - 7/4)

= 7/4 + 1/7 (35-14 / 8)

= 7/4 + 1/7 (21/8)

= 7/4 + 3/8

= 14+3 / 8

= 17/8

= 2 1/8

Therefore, 2 whole 1/8 is the rational number that is one seventh of the way from 1 whole 3/4 and 4 whole 3/8​.

Answer 2

Step-by-step explanation:

7/4 + 1/7 (35/8 -7/4)

7/4 +1/7 (35-14/8)

7/4 +1/7 (21/8) 7/4 + 3/8

14 + 3/8

17 /8

it means 2whole 1/8