38/5 to a mixed number

How to write 38/5 as a Mixed Number?

Answer: Fraction 38/5 as a mixed number it is 7 3/5

Since we have an improper fraction (the numerator [38] is greater than the denominator [5]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

38
/
5
=7
3
/
5

Steps to convert 38/5 to a mixed number

In order to convert our improper fraction 38/5 to a mixed number, we need to follow three basic steps:

1. Find the whole number. First we need to calculate how many times the denominator [5] goes into the numerator [38]. To do this we divide the numerator by the denominator:

38 ÷ 5 = 7.6 = 7

(Quotient of 7 and a remainder of 3)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [3].

You may also calculate a remainder by using the whole number we calculated in the first step [7] and multiplying it by the original denominator [5]. And then subtract the result from the original numerator [38]:

38 - (7 × 5)

=

38 - 35 = 3

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [3] and put it above the original denominator [5], and then put the whole number [7] before it

38
/
5
=7
3
/
5

That's it! We have successfully converted the improper fraction 38/5 to the mixed number 7 3/5.

See Also

Fraction to Mixed Number Converter

This calculator will help you to convert an Improper Fraction to a Mixed Number. For example, it can help you find out how to write 38/5 as a Mixed Number? (The answer is: 7 3/5). Enter the fraction (numerator and denominator) (e.g. '38/5') and hit the 'Convert' button.
An improper fraction is a type of fraction where the numerator is greater than or equal to the denominator. A mixed number is a combination of a whole number and a proper fraction.

Fraction to a Mixed Number Conversion Table

FAQ

How to write 38/5 as a Mixed Number?

Fraction 38/5 as a mixed number it is 7 3/5