Understanding how to change fractions, decimals, and percentages is an important skill for Year 9 students in math class. Knowing these concepts helps prepare students for tougher topics down the road. Here are some easy tricks to make these conversions simpler.

Changing Percentages to Fractions

1. From Percentage to Fraction:

   • To turn a percentage into a fraction, write it over 100. For example, to change 75% into a fraction, write it like this:
   $$\frac{75}{100}$$
   • Next, simplify the fraction. You can do this by finding the biggest number that divides both the top and bottom. For 75 and 100, that number is 25. So,
   $$\frac{75 \div 25}{100 \div 25} = \frac{3}{4}$$

2. Common Percentages: It helps to remember a few easy conversions:

   • 25% = $\frac{1}{4}$
   • 50% = $\frac{1}{2}$
   • 10% = $\frac{1}{10}$
   • 75% = $\frac{3}{4}$

Changing Fractions to Percentages

1. From Fraction to Percentage:

   • To change a fraction into a percentage, divide the top number (numerator) by the bottom number (denominator) and then multiply by 100. For example, to change
   $$\frac{3}{8}$$

   into a percentage, do the math like this:

   $$\frac{3}{8} \times 100 = 37.5\%$$

2. Using a Calculator: A calculator can help with the division part, especially if the fractions are more complicated.

Changing Decimals to Percentages

1. From Decimal to Percentage:

   • To convert a decimal into a percentage, just multiply it by 100. For example, to change 0.85, do:
   $$0.85 \times 100 = 85\%$$

2. Remembering the Trick: You can also think of it this way: moving the decimal point two spaces to the right gives you the percentage.

Changing Percentages to Decimals

1. From Percentage to Decimal:
   • To change a percentage into a decimal, divide by 100 or move the decimal point two places to the left. For example, to convert 40%,
   $$40 \div 100 = 0.4$$

Practicing in Real Life

1. Using Real-World Examples: Students should practice these conversions using everyday situations, like figuring out sales tax, discounts, or statistics. For example, if something costs $50 and there’s a 20$10 helps reinforce how to change between percentages and decimals quickly.

2. Regular Practice: Keep working on problems that involve these conversions. This will help you understand them better and do them faster, making sure you have these basic skills ready for more difficult math problems in the future.

By using these tips and focusing on understanding the ideas behind them, Year 9 students can easily switch between fractions, decimals, and percentages. This will give them the confidence to tackle more challenging math problems later on.