Theory
How do you convert a mixed number to an improper fraction?
A mixed number consists of whole parts and a fraction part, such as 2 13.
If you want to write this as one fraction, first turn the whole parts into fraction parts with the same denominator.
Multiply the whole number by the denominator, add the numerator, and keep the denominator the same.
- Convert the whole partsConvert the whole parts to fraction parts by multiplying the whole number by the denominator.
You use multiplication with equal groups.
A × B means that you take the same amount B, A times.Instead of adding again and again, you calculate the product all at once.
- Add the numeratorAdd the numerator of the fraction part to the converted whole parts.
When adding, you combine two amounts.
You can count from left to right, but with larger numbers it is often easier to make a round number first.
If you use part of the second number to fill up the first number, then after that you only need to add the rest.
- See if you can add on in a smart wayWith larger numbers, you can often make a round number first.
- Add the restThen add what is left.
- See if you can add on in a smart way
- Keep the denominator the sameThe parts stay the same size, so the denominator does not change.
Convert 2
13 to an improper fraction.
- Convert the whole parts2 × 3 = 6.
- Add the numerator6 + 1 = 7.
- See if you can add on in a smart wayGebruik direct optellen bij 6 + 1.
- Add the rest6 + 1 = 7.
- See if you can add on in a smart way
- Keep the denominator the sameThe denominator remains 3.