Question

Insert six rational number between 1/4 and 1/2

Answer 1

1/4. and 1/2
= LCM of denominator 4 and 2=4
=1×1/4×1 and 1×2/2×2
=1/4 and 2/4
Now,
=1×10/4×10 and 2×10/4×10
=10/40 and 20/40

Therefore thus 6 rational number between 1/ 4 and 1/2 are 11/40, 12/40, 13/40, 14/40 ,15/40, 16/40.

Hope it will help you

Answer 2

Answer:

The six rational numbers $\frac{1}{4} and\ \frac{1}{2}$ are $\frac{7}{24} , \frac{8}{24}, \frac{9}{24} ,\frac{10}{24},\frac{11}{24} and\ \frac{11.1}{24}$ .

Step-by-step explanation:

Explanation:

Given, $\frac{1}{4} and\ \frac{1}{2}$ .

Rational number - Rational number, in arithmetic, a number that can be represented as the quotient $\frac{p}{q}$ of two integers such that q ≠ 0.

Step 1:

We have, $\frac{1}{4} and\ \frac{1}{2}$ .

So, first we need to make the denominator the same,

Therefore, $\frac{1}{4}$ ×$\frac{6}{6}$  = $\frac{6}{24}$and $\frac{1}{2}$ ×$\frac{12}{12}$  = $\frac{12}{24}$

So, the rational number between $\frac{6}{24}$ and $\frac{12}{24}$ are,

$\frac{7}{24} , \frac{8}{24}, \frac{9}{24} ,\frac{10}{24},\frac{11}{24} and\ \frac{11.1}{24}$

Final answer:

Hence, the rational numbers $\frac{1}{4} and\ \frac{1}{2}$ are $\frac{7}{24} , \frac{8}{24}, \frac{9}{24} ,\frac{10}{24},\frac{11}{24} and\ \frac{11.1}{24}$ .

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