Find three rational numbers between frac{1}{7 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) To find three rational numbers between $\frac{1}{7}$ and $\frac{3}{7}$,we can multiply the numerator and denominator of both fractions by $(3 + 1)

Vedclass · Accepted Answer

$\frac{3}{14}, \frac{4}{14}, \frac{5}{14}$

Vedclass · Answer

(B) To find three rational numbers between $\frac{1}{7}$ and $\frac{3}{7}$,we can multiply the numerator and denominator of both fractions by $(3 + 1) = 4$ or any larger integer to increase the gap.Multiplying by $2$ (since $2$ is between $1$ and $3$): $\frac{1}{7} = \frac{1 	imes 2}{7 	imes 2} = \frac{2}{14}$$\frac{3}{7} = \frac{3 	imes 2}{7 	imes 2} = \frac{6}{14}$The rational numbers between $\frac{2}{14}$ and $\frac{6}{14}$ are $\frac{3}{14}, \frac{4}{14}, 	ext{and } \frac{5}{14}$.Thus,the three rational numbers are $\frac{3}{14}, \frac{2}{7}, 	ext{and } \frac{5}{14}$.

Find three rational numbers between $\frac{1}{7}$ and $\frac{3}{7}$.

Similar Questions

After rationalizing the denominator of $\frac{7}{3 \sqrt{3}-2 \sqrt{2}},$ we get the denominator as

Fill in the blanks to make the following statement true:
$\sqrt{1 \frac{25}{144}} = \ldots$

Find the value of $a$ :
$\frac{5+2 \sqrt{3}}{7+4 \sqrt{3}}=a-6 \sqrt{3}$

Let $x$ be a rational number and $y$ be an irrational number. Is $xy$ necessarily irrational? Justify your answer with an example.

Simplify the following:
$(\sqrt{3}-\sqrt{2})^{2}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module