Question

find a rational number between 1/5 and 3/4​

Answer 1

Answer:

0.475

Step-by-step explanation:

We want 1 rational numbers between 1/5 and 3/4

Rational Number between 1/5 and 3/4

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

Fraction 1 as a decimal → = 0.2

Fraction 2 as a decimal → = 0.75

Take the average of the two decimals:

Average  =   0.2 + 0.75

/2

Average  =   0.95

/2

Average (Rational Number Between) = 0.475

Now we set our new endpoint for our average as 0.475

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Answer 2

To find : rational numbers between $\frac{1}{5}$ and $\frac{3}{4}$

Solution :

• According question we have to find rational numbers between $\frac{1}{5}$ and $\frac{3}{4}$   for this we need to equalize denominators of the rational numbers by taking LCM.

• Therefore, LCM = $20$

• Now, multiplying numerators by same numbers as multiplied by denominator to make LCM .

• We get, $\frac{1}{5}=\frac{1\times 4}{20}=\frac{4}{20} and \frac{3}{4}=\frac{3 \times 5}{20}=\frac{15}{20}$

• Now, we can find rational numbers between $\frac{4}{20}$ and $\frac{15}{20}$  

• We can write $10$ rational numbers between $\frac{4}{20}$ and $\frac{15}{20}$ but we are asked to write only one rational number between $\frac{4}{20}$ and $\frac{15}{20}$   .

Hence, a rational number between $\frac{4}{20}$ and $\frac{15}{20}$  is $\frac{5}{20}$ .