Question

Find the perimeter of the following triangle. 1 2/3ft, 3/4ft, 2 1/9ft. Write your answer as a mixed number in simplest form.

Answer 1

`4(19)/(36)`

Explanation:

In order to add fractions, the bottom number (denominator) must be the same. We must find a common denominator between the three fractions. For these numbers, that appears to be 36

for the first number, we see that we must multiply the fraction by 12 (36 divided by 3 (denominator) is 12)

`1(2)/(3)ft= (5)/(3)= (60)/(36)`

For the second number we must multiply the fraction by 9 (36 divided by 4 (denominator) is 9)

`(3)/(4)=(27)/(36)`

For the final number we must multiply the fraction by 4 (36 divided by 9 (denominator) is 4)

`2(1)/(9)ft= (19)/(9) =(76)/(36)`

Now that the fractions share a denominator we can add them

`(60)/(36) +(27)/(36)+(76)/(36)=(163)/(36)`

If we make this fraction mixed we must first divide 163/36 to find the whole number. which is 4. To find the remaining fraction we must take 36*4 and subtract that from 163. We find that the left over is 19