Converting fractions to decimals and back is an important skill for Year 7 math. Here are some easy ways to do these conversions:

1. Division Method

To change a fraction into a decimal, you just divide the top number (numerator) by the bottom number (denominator).

• Example: To change $\frac{3}{4}$ to a decimal, do $3 \div 4 = 0.75$.

• Fun Fact: By the end of Year 7, about 80% of students can do this correctly if they have help.

2. Multiplying by Powers of 10

To turn a decimal into a fraction, you need to look at the place value of the decimal and multiply by the right power of 10.

• Example: For $0.6$, this is the same as $\frac{6}{10}$, which can be simplified to $\frac{3}{5}$.

• Tip: For $0.08$, it is $\frac{8}{100}$, and when you simplify it, you get $\frac{2}{25}$.

3. Recognizing Common Fractions

Some fractions have decimal values that you might already know, making it easier to convert them.

• Examples:
  • $\frac{1}{2} = 0.5$
  • $\frac{1}{4} = 0.25$
  • $\frac{3}{10} = 0.3$

4. Practice and Resources

Practicing with worksheets, online quizzes, and fun games can help you get better at these methods. Studies show that practicing regularly can help students improve their accuracy by up to 60%.

By learning these methods, Year 7 students will have a strong base to understand fractions and decimals better!