How to Change Mixed Numbers into Improper Fractions

Changing mixed numbers into improper fractions is really important, especially when you want to divide them. Here’s an easy way to do it:

1. Find the Mixed Number: Imagine you have the mixed number $2\frac{3}{4}$.

2. Turn It Into an Improper Fraction:

   • First, take the whole number ($2$) and multiply it by the bottom number (denominator) of the fraction ($4$):
     $2 \times 4$ equals $8$.
   • Next, add the top number (numerator) of the fraction ($3$) to that:
     $8 + 3$ equals $11$.
   • Now, put this new number on top and keep the original bottom number ($4$). You get:
     $\frac{11}{4}$.

3. Do It Again If Needed: If you have more mixed numbers, just repeat the steps! For example, let’s change $3\frac{1}{2}$ into an improper fraction:

   • First, multiply the whole number ($3$) by the bottom number ($2$):
     $3 \times 2$ equals $6$.
   • Then, add the top number ($1$):
     $6 + 1$ equals $7$.
   • So, it becomes:
     $\frac{7}{2}$.

4. Divide the Improper Fractions: After you change them, you can divide just like you do with regular fractions. Don’t forget to multiply by the flip side (reciprocal) of the second fraction!

Make sure to practice this a few times, and soon it will feel easy! Happy calculating!