Converting Mixed Numbers to Improper Fractions
Atoms of Knowledge
Before learning this routine, you need to know these building blocks:
Routine: Convert a mixed number to an improper fraction
Atoms:
- Understand the terms mixed number, improper fraction, whole number, numerator, and denominator (C)
- Recognise when a number is written as a mixed number (C)
- Multiply two whole numbers (T)
- Add two whole numbers (T)
- Write a fraction with a given numerator and denominator (T)
I Do (Teacher Modeling)
Example 1: Convert \(2\frac{3}{5}\) to an improper fraction
\(2 \times 5 = 10\)
First, multiply the whole number by the denominator. We take 2 and multiply it by 5 to get 10.
\(10 + 3 = 13\)
Next, add the numerator to this result. We add 3 to our 10 to get 13. This gives us our new numerator.
\(\frac{13}{5}\)
Finally, write this number over the original denominator. Our answer is 13 over 5.
We Do (Guided Practice)
Convert \(3\frac{4}{9}\) to an improper fraction
\(3 \times 9 = 27\)
\(27 + 4 = 31\)
\(\frac{31}{9}\)
