# What is the ratio to 14 inches to 3 feet as a fraction in simplest form?

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sjc Share
Feb 10, 2017

$7 : 18$

#### Explanation:

With ratios you need to have the measurements in the same units
before simplifying.

so $14 \text{ inches" :3 " feet}$

$14 \text{ inches" :3 " feet "::14" inches":36" inches}$

the inches now cancel leaving us

$14 : 36 : : 7 : 18$

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Feb 7, 2017

$\frac{14}{3}$ or $4 \frac{2}{3}$

#### Explanation:

Depends on whether or not you want to do it in mixed fraction or an improper fraction. When you simplify numbers you try to find the GCF or the greatest common factor that goes into the numbers except one. Here are the factors of both numbers.
14 - 1, 2, 7, 14
3 - 1, 3
There are no common factor. Therefore, it is impossible to simplify. We are not using decimals or fractions of numbers.
So if you simplify regularly without the mixed number, you get $\frac{14}{3}$
But if you simplify into a mixed number, you get $4 \frac{2}{3}$.

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