Question

list any five rational numbers between 1/4 and 7/20​

Answer 1

Step-by-step explanation:

If we want 5rational no. then, we have to multiply both the no. by 6 bcz if same the denominator then we can find only one rational no. that's why.

1/4×5/5=5/20

No. 7/20 or 5/20

5/20×6/6=30/120

7/20=6/6=42/120

31/120,32/120,33/120,34/120,35/120

Answer 2

Answer:

$\frac{31}{120}, \frac{32}{120},\frac{33}{120},\frac{34}{120} and\frac{35}{120}$ are the five rational number between $\frac{1}{4} and \frac{7}{20}$.

Step-by-step explanation:

Explanation:

• Rational number - A rational number is one that can be written as the ratio or fraction $\frac{p}{q}$ of two numbers, where p and q are the numerator and denominator, respectively.

According to the question we need to find out  five rational number between, $\frac{1}{4} and \frac{7}{20}$.

Step 1:

We have, $\frac{1}{4} and \frac{7}{20}$

LCM of 4 and 20 is 20.

So, we multiplying both numerator and denominator of $\frac{1}{4}$ by 5.

⇒ $\frac{1}{4}$ × $\frac{5}{5}$ = $\frac{5}{20}$

To insert 5 rational numbers, we need to multiply both numerator and denominator of each rational number with 5 + 1  that is 6.

$\frac{5}{20}$ × $\frac{6}{6}$ = $\frac{30}{120}$  and $\frac{7}{20}$ × $\frac{6}{6}$ = $\frac{42}{120}$

So, the rational number between $\frac{30}{120}$ and$\frac{42}{120}$ are

$\frac{31}{120}, \frac{32}{120},\frac{33}{120},\frac{34}{120} and\frac{35}{120}$.

Final answer:

Hence, the rational number between $\frac{1}{4}$ and$\frac{7}{20}$ are

$\frac{31}{120}, \frac{32}{120},\frac{33}{120},\frac{34}{120} and\frac{35}{120}$.

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