Converting mixed numbers into improper fractions is a cool skill! It helps you do math with fractions more easily. Let's go through the steps together so you can master it!

Step 1: What is a Mixed Number?

A mixed number has two parts: a whole number and a fraction.

For example:
In the mixed number (2\frac{3}{4}),

• The whole number is (2).
• The fraction is (\frac{3}{4}).

Step 2: How to Use the Formula

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

1. Multiply the whole number by the bottom number (denominator) of the fraction.

   • For (2\frac{3}{4}):
     (2 \times 4 = 8)

2. Add the top number (numerator) of the fraction to your answer from Step 1.

   • So for our example:
     (8 + 3 = 11)

3. Write your answer as a fraction. Use the result from Step 2 as the top number and keep the original bottom number.

   • So, (2\frac{3}{4}) becomes:
     (\frac{11}{4})

Example Time!

Let’s try converting (1\frac{2}{5}):

• First, multiply:
  (1 \times 5 = 5)

• Next, add:
  (5 + 2 = 7)

• The final answer is:
  (1\frac{2}{5} = \frac{7}{5})

Why Should You Care?

Learning this method makes you faster and more confident with fractions. So, get ready to take on those fractions like a champ! Happy calculating! 🎉