21/7 to a mixed number

Fraction to Mixed Number Converter
Improper Fraction to Convert

How to write 21/7 as a Mixed Number?

Answer

The fraction 21/7 as a mixed number is
3

The numerator [21] is a multiple of the denominator [7], so this improper fraction has no fractional part — it is simply a whole number:

21
7
=3

Steps to convert 21/7 to a mixed number

In order to convert our improper fraction 21/7 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 [7] goes into the numerator [21]. To do this we divide the numerator by the denominator:

21 ÷ 7 = 3

21 = 3 × 7 + 0

(Quotient of 3 and a remainder of 0)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [0].

You may also calculate a remainder by using the whole number we calculated in the first step [3] and multiplying it by the original denominator [7]. And then subtract the result from the original numerator [21]:

21 - (3 × 7)

=

21 - 21 = 0

3. Get our mixed number. The remainder is 0, so there is no fractional part: the improper fraction 21/7 is simply the whole number [3]

21
7
=3

That's it! The improper fraction 21/7 is the whole number 3 — there is no fractional part to write beside it.

Related Calculations

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 21/7 as a Mixed Number? (The answer is: 3). Enter the fraction (numerator and denominator) (e.g. '21/7') 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

Fraction to a Mixed Number Conversion Table

FractionMixed Number
8/71 1/7
9/71 2/7
10/71 3/7
11/71 4/7
12/71 5/7
13/71 6/7
14/72
15/72 1/7
16/72 2/7
17/72 3/7
18/72 4/7
19/72 5/7
20/72 6/7
21/73
22/73 1/7
23/73 2/7
24/73 3/7
25/73 4/7
26/73 5/7
27/73 6/7
28/74
29/74 1/7
30/74 2/7
31/74 3/7
32/74 4/7
33/74 5/7
34/74 6/7
35/75
36/75 1/7
37/75 2/7

FAQ

How to write 21/7 as a Mixed Number?

The fraction 21/7 as a mixed number is 3

How is 21/7 split into a whole part and a fraction?

Divide the numerator (21) by the denominator (7): the quotient 3 is the whole part and the remainder 0 is the numerator of the fractional part, over the same denominator. Reduced to lowest terms that gives 3.

How can you check that 21/7 equals 3?

Multiply the whole part by the denominator and add the remainder back: 3 × 7 = 21, and 21 + 0 = 21 — exactly the numerator you started with.

See Also