Question

1/3:1/4 Express The Ratio in its simplest form

Answer 1

Answer:

4:3

Step-by-step explanation:

$\frac{ \frac{1}{3} }{ \frac{1}{4} } \\ = \frac{1}{3} \div \frac{1}{4} \\ = \frac{1}{3} \times \frac{4}{1} \\ = \frac{4}{3}$

Answer 2

Answer:

Simplest form of the ratio$\frac{1}{3} : \frac{1}{4}$ is 4:3 .

Step-by-step explanation:

Explanation :

Given , $\frac{1}{3} : \frac{1}{4}$

Simplest form -  If a fraction's numerator and denominator are both relatively prime, that is, if they only share the number one, then the fraction is said to be in its simplest form.

Step 1:

First we find the LCM of the given fractions $\frac{1}{3} and \frac{1}{4}$ .

So , the LCM of 3 and 4 = 12

Now , multiply  each fraction with the LCM of (3, 4)

⇒ $12$ ×$\frac{1}{3}$ : 12 ×$\frac{1}{4}$

⇒4 : 3

Final answer:

Hence , 4 : 3 is the simplest form of $\frac{1}{3} : \frac{1}{4}$ .

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