Mixed Numbers to Improper Fractions and
Improper Fractions to Mixed Numbers

What if we need to convert a Mixed Number into an Improper Fraction?
Say 2½

Multiply the whole number part, 2, by the denominator of the fraction part.
2 x 2 = 4, and add this to the numerator, 4 + 1 = 5, this number is now the numerator, write this above the denominator, 5/2 and you have an improper fraction.

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What if we need to convert an Improper Fraction into a Mixed Number?
Say 7/2

Divide the numerator by the denominator, 7 ÷ 2, which is 3 with 1 remaining.
We now have our whole number part of the mixed number ... 3
The remainder, 1, becomes the numerator, write this above the denominator ½
Put the two together, 3 and ½ to give 3½ and you have a mixed number.

You can easily check your answer by doing the inverse - changing it back.