write 13.75 as a fraction or mixed number

Given the number:

13.75 

Change into fraction or mixed number.

Solution:

In order to change the given number into a fraction and mixed number, we can start first by changing it into a mixed number, then we can easily convert it to an improper fraction later. In changing a number into a mixed number, simply focus on the decimal value, in our case .75, the maximum decimal value is in hundredths place, since 7 is in tenths place and 5 is in hundredths place, therefore we will make 75 as a whole number and divide it by 100.

= 75/100

It can be simplified by 25.

= ¾

Now we can add 13 to the fraction to make it a mixed number

= 13 ¾

Now to change the mixed number into an improper fraction, we multiply the whole number to the denominator, and add their product to the numerator, for the denominator, we will retain the value as it is.

= (13) (4)

= 52 + 3

= 55/4

Final answer:

 Mixed Number = 13 ¾

Improper Fraction = 55/4