47/5 to a mixed number

Fraction to Mixed Number Converter
Improper Fraction to Convert

How to write 47/5 as a Mixed Number?

Answer

The fraction 47/5 as a mixed number is
9 2/5

Since we have an improper fraction (the numerator [47] is greater than the denominator [5]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

47
5
=9
2
5

Steps to convert 47/5 to a mixed number

In order to convert our improper fraction 47/5 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 [47]. To do this we divide the numerator by the denominator:

47 ÷ 5 = 9.4 = 9

(Quotient of 9 and a remainder of 2)

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

You may also calculate a remainder by using the whole number we calculated in the first step [9] and multiplying it by the original denominator [5]. And then subtract the result from the original numerator [47]:

47 - (9 × 5)

=

47 - 45 = 2

3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [2] and put it above the original denominator [5], and then put the whole number [9] before it

47
5
=9
2
5

That's it! We have successfully converted the improper fraction 47/5 to the mixed number 9 2/5.

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 47/5 as a Mixed Number? (The answer is: 9 2/5). Enter the fraction (numerator and denominator) (e.g. '47/5') 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 Mixed Number Converter
Improper Fraction to Convert

FAQ

How to write 47/5 as a Mixed Number?

The fraction 47/5 as a mixed number is 9 2/5

How is 47/5 split into a whole part and a fraction?

Divide the numerator (47) by the denominator (5): the quotient 9 is the whole part and the remainder 2 is the numerator of the fractional part, over the same denominator. Reduced to lowest terms that gives 9 2/5.

How can you check that 47/5 equals 9 2/5?

Multiply the whole part by the denominator and add the remainder back: 9 × 5 = 45, and 45 + 2 = 47 — exactly the numerator you started with.