To switch between improper fractions and mixed numbers, let's first understand what each one means.

• Improper Fractions: This is a type of fraction where the top number (numerator) is bigger than or equal to the bottom number (denominator). For example, $7/4$ is an improper fraction.

• Mixed Numbers: A mixed number is made up of a whole number and a proper fraction, like $1 \frac{3}{4}$.

How to Change Improper Fractions into Mixed Numbers

1. First, divide the top number by the bottom number.
2. Write down the whole number you get from the division.
3. Look for the remainder and create a new fraction. Use the remainder as the top number and keep the original bottom number.

For example, if we want to change $9/4$ into a mixed number:

• Start by doing the division: $9 ÷ 4 = 2$ with a remainder of $1$.
• So the mixed number is $2 \frac{1}{4}$.

How to Change Mixed Numbers into Improper Fractions

1. First, multiply the whole number by the bottom number.
2. Then, add the top number (numerator) to this result.
3. Finally, put this total over the original bottom number.

For example, to change $2 \frac{1}{4}$ into an improper fraction:

• First, do the multiplication: $2 \times 4 = 8$.
• Then add $1$: $8 + 1 = 9$.
• So the improper fraction is $9/4$.

A Quick Fact

About 60% of Year 9 students find improper fractions and mixed numbers challenging. This shows that it’s really important to learn how to convert between them in math class!