Question

write three rational numbers that lie between the two numbers 3 upon 8 and 7 upon 8 ?​

Answer 1

Answer:

Step-by-step explanation:

Rational Number between 3/8 and 7/8

To find a rational number between two fractions, we convert each fraction to decimals

Fraction 1 as a decimal → = 0.375

Fraction 2 as a decimal → = 0.875

Take the average of 0.375 and 0.875

Average  =   0.375 + 0.875

 2

Average  =   1.25

 2

Average (Rational Number Between) = 0.625

Now use our first decimal of 0.375 and the rational number we found of 0.625 as our two new endpoints

Take the average of 0.375 and 0.625

Average  =   0.375 + 0.625

 2

Average  =   1

 2

Average (Rational Number Between) = 0.5

Now use our first decimal of 0.375 and the rational number we found of 0.5 as our two new endpoints

Take the average of 0.375 and 0.5

Average  =   0.375 + 0.5

 2

Average  =   0.875

 2

Average (Rational Number Between) = 0.4375

Now use our first decimal of 0.375 and the rational number we found of 0.4375 as our two new endpoints

The 3 rational numbers between 3/8 and 7/8 are below

1) = 0.625

2) = 0.5

3) = 0.4375

Answer 2

Concept

A number that can be represented as the quotient p / q of two integers, such as the rational number q ≠ 0. In addition to all  fractions, a set of rational numbers contains all  integers, each of which can be described as a quotient with an integer as the numerator. 1 as the denominator.

Given

We have given two fractions 3/8 and 7/8.

Find

We are asked to determine the three rational number between the given two fractions.

Solution

As the given two fractions have same denominator, so we don't need to take LCM.

Therefore, the number between $\frac{3}{8}$ and $\frac{7}{8}$ are  $\frac{4}{8} ,\frac{5}{8} ,\frac{6}{8}$

On simplifying these rational numbers, we get

$\frac{1}{2} , \frac{5}{8} , \frac{3}{4}$

Hence , the three rational number between given fractions are  $\frac{1}{2} , \frac{5}{8} , \frac{3}{4}$ .

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