5/27/22, 3:28 AM Converting Between Improper Fractions and Mixed Numbers
Fractions:
Converting Between Improper Fractions and Mixed Numbers
An important part of learning about fractions is becoming comfortable understanding what they
mean. Being able to convert between improper fractions and mixed numbers is a great way to be
able to understand fractions and recognize how large or small a fraction is. Here are some math
terms that will help you to understand this lesson better:
1. Proper Fraction = A fraction whose numerator is smaller than the denominator. Example: 3
4
2. Improper Fraction = A fraction whose numerator is larger than the denominator. Example: 43
3. Mixed Number = An integer combined with a proper fraction showing how many wholes and
how many parts are in the number. Example: 2 3 means 2 whole and 3 pieces, pronounced
1 1
two and one-third.
The following video will show how this conversion can be done:
0::18 1x
Video Source (10:18 mins) | Transcript
When converting from a Mixed Number to an Improper Fraction:
Multiply the integer by the denominator and add the numerator to get the new numerator
Keep the denominator the same
Example: 2 13 = ( 21 × 33 ) + 13 = 2×3
1 6 1 7
+ = + =
3 3 3 3 3
When converting from an improper Fraction to a Mixed Number:
Divide the numerator by the denominator
Keep the remainder as the numerator of the new fraction part
https://content.byui.edu/file/b8b83119-9acc-4a7b-bc84-efacf9043998/1/Math-1-9-1.html 1/2
Fractions:
Converting Between Improper Fractions and Mixed Numbers
An important part of learning about fractions is becoming comfortable understanding what they
mean. Being able to convert between improper fractions and mixed numbers is a great way to be
able to understand fractions and recognize how large or small a fraction is. Here are some math
terms that will help you to understand this lesson better:
1. Proper Fraction = A fraction whose numerator is smaller than the denominator. Example: 3
4
2. Improper Fraction = A fraction whose numerator is larger than the denominator. Example: 43
3. Mixed Number = An integer combined with a proper fraction showing how many wholes and
how many parts are in the number. Example: 2 3 means 2 whole and 3 pieces, pronounced
1 1
two and one-third.
The following video will show how this conversion can be done:
0::18 1x
Video Source (10:18 mins) | Transcript
When converting from a Mixed Number to an Improper Fraction:
Multiply the integer by the denominator and add the numerator to get the new numerator
Keep the denominator the same
Example: 2 13 = ( 21 × 33 ) + 13 = 2×3
1 6 1 7
+ = + =
3 3 3 3 3
When converting from an improper Fraction to a Mixed Number:
Divide the numerator by the denominator
Keep the remainder as the numerator of the new fraction part
https://content.byui.edu/file/b8b83119-9acc-4a7b-bc84-efacf9043998/1/Math-1-9-1.html 1/2
