Question

find the four rational numbers between 3/4 and 5/8

Answer 1

Answer:

• four rational number between 3/4 and 5/8 .
• n(number = 4)=4

to find four rational between 3/4 and 5/8 we multiply the numerator and denominator of 3/4 and 5/8 by n+1 .

• 4+1=5

• 3/8 multiply 4/4 = 12/32
• 5/8 multiply 4/4 =20/32

4 rational numbers between 3/4 and 5/8 are

• 13/32
• 14/32
• 15/32
• 16/32

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Answer 2

The four rational numbers between 3/4 and 5/8 are 26/40, 27/40, 28/40, and 29/40.

Given:-

Two numbers = 3/4 and 5/8

To Find:-

The four rational numbers between these numbers.

Solution:-

We can simply calculate the four rational numbers between these numbers by using the following methods.

As

Two numbers = 3/4 and 5/8

n = 4

Here we have to find four rational numbers, so we will make both the given fractions equivalent by multiplying them by 2(n+1) and (n+1) respectively.

So,

$\frac{3 \times 2( n+ 1)}{4 \times 2(n + 1)}$

$\frac{3 \times 2(4 + 1)}{4 \times 2(4 + 1)}$

$\frac{3 \times 5 \times 2}{4 \times 5 \times 2}$

$\frac{15 \times 2}{20 \times 2}$

$\frac{30}{40}$

And,

$\frac{5 \times (n + 1)}{8 \times (n + 1)}$

$\frac{5 \times (4 + 1)}{8 \times (4 + 1)}$

$\frac{5 \times 5}{8 \times 5}$

$\frac{25}{40}$

Now, the fractions are 30/40 and 25/40.

So the four rational numbers between 3/4 and 5/8 are 26/40, 27/40, 28/40, and 29/40.

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