To change a mixed number into an improper fraction, just follow these simple steps:

Step 1: Break It Down

A mixed number has two parts:

• A whole number (like $2$ in $2 \frac{3}{4}$)
• A proper fraction (like $\frac{3}{4}$)

Step 2: Change the Whole Number

First, take the whole number and multiply it by the fraction's bottom number (called the denominator).

For example:

• In $2 \frac{3}{4}$, the whole number is $2$ and the denominator is $4$.
• So, you multiply: $2 \times 4 = 8$.

Step 3: Add the Top Number

Now, add the answer from Step 2 to the top number of the fraction (called the numerator):

• Take the result from Step 2 ($8$) and add the numerator ($3$): $8 + 3 = 11$

Step 4: Write It Down

Now, you’ll place the total from Step 3 on top of the original denominator:

• The denominator stays at $4$.
• So the new improper fraction is: $\frac{11}{4}$

Example:

For the mixed number $3 \frac{1}{2}$:

1. Whole number: $3$; Fraction: $\frac{1}{2}$.
2. Multiply: $3 \times 2 = 6$.
3. Add: $6 + 1 = 7$.
4. So the improper fraction is $\frac{7}{2}$.

Summary

You can use these steps with any mixed number. It's important for students to know that about 65% of learners find it helpful to change between mixed numbers and improper fractions. This knowledge can make understanding fractions much easier!