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Express the ratio 14 to 21 as a fraction in simplest form ​

2 Answers

5 votes
14 and 21 can both be divided by 7, so let's do that: 2 to 3 is the answer
2 and 3 don't have any common factors so that is the simplest form.
User Kannan Lg
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5.6k points
2 votes

Answer:


\large\boxed{\frac{2}3{}}

Explanation:

In this question, it's asking you to express a ratio as a fraction and put it in its simplest form.

Simplest form is when a fractions numbers in the numerator and denominator are prime.

We know that the ratio is 14:21

We can represent the ratio in a fraction as:
(14)/(21)

We're not done yet, we need to simplify the fraction into its simplest form.

In order to get the fraction in its simplest form, we would need to divide. In this case, we would divide by 7 because 7 can go into both numbers.

Simplify fraction:


(14)/(21)/(7)/(7)=(2)/(3)\,\text{You can't make the fraction any smaller anymore.}\\\\\text{You would just leave it as}\,(2)/(3)

When you're done solving, you should get
(2)/(3)

This means that the ratio as a fraction and in its simplest form would be 2/3

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!

User Jason Kincl
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5.1k points