149/20 to a mixed number

How to write 149/20 as a Mixed Number?

Answer: Fraction 149/20 as a mixed number it is 7 9/20

Since we have an improper fraction (the numerator [149] is greater than the denominator [20]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

149
/
20
=7
9
/
20

Steps to convert 149/20 to a mixed number

In order to convert our improper fraction 149/20 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 [20] goes into the numerator [149]. To do this we divide the numerator by the denominator:

149 ÷ 20 = 7.45 = 7

(Quotient of 7 and a remainder of 9)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [9].

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 [20]. And then subtract the result from the original numerator [149]:

149 - (7 × 20)

=

149 - 140 = 9

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [9] and put it above the original denominator [20], and then put the whole number [7] before it

149
/
20
=7
9
/
20

That's it! We have successfully converted the improper fraction 149/20 to the mixed number 7 9/20.

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 149/20 as a Mixed Number? (The answer is: 7 9/20). Enter the fraction (numerator and denominator) (e.g. '149/20') 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

FractionMixed Number
150/20
151/207 11/20
152/20
153/207 13/20
154/20
155/20
156/20
157/207 17/20
158/20
159/207 19/20
160/208
161/20
162/20
163/20
164/20
165/20
166/20
167/20
168/20
169/20
170/20
171/208 11/20
172/20
173/208 13/20
174/20
175/20
176/20
8 17/20
178/20

FAQ

How to write 149/20 as a Mixed Number?

Fraction 149/20 as a mixed number it is 7 9/20