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What Strategies Can Help Us Convert Between Fractions, Decimals, and Percentages?

To change fractions, decimals, and percentages easily, you can use a few simple methods:

How to Convert Fractions to Decimals:

  1. Division Method: You can turn a fraction into a decimal by dividing the top number (numerator) by the bottom number (denominator). For example, to change 34\frac{3}{4} into a decimal, do 3÷4=0.753 \div 4 = 0.75.

  2. Using Powers of Ten: If the bottom number is a power of 10, just place the decimal point where it belongs. For example, 25100=0.25\frac{25}{100} = 0.25.

How to Convert Decimals to Percentages:

  1. Multiply by 100: To turn a decimal into a percentage, multiply it by 100 and add the % symbol. For example, 0.85×100=85%0.85 \times 100 = 85\%.

  2. Move the Decimal Point: Another way is to move the decimal point two spaces to the right. So, 0.450.45 becomes 45%45\%.

How to Convert Percentages to Fractions:

  1. Write it as a Fraction: You can write a percentage as a fraction over 100. For example, 50%50\% can be written as 50100\frac{50}{100}. When you simplify that, it becomes 12\frac{1}{2}.

  2. Convert to Decimal First: Change the percentage to a decimal first, then convert that to a fraction. For instance, 60%60\% goes to 0.600.60, then to 60100\frac{60}{100}, and that simplifies to 35\frac{3}{5}.

Practice Makes Perfect:

The more you practice these conversions, the easier they become!

Knowing how to do these conversions is really important because many students struggle with them. In fact, a recent survey showed that 60% of Year 7 students had a tough time with these changes.

So don’t worry—keep practicing, and you’ll get the hang of it!

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What Strategies Can Help Us Convert Between Fractions, Decimals, and Percentages?

To change fractions, decimals, and percentages easily, you can use a few simple methods:

How to Convert Fractions to Decimals:

  1. Division Method: You can turn a fraction into a decimal by dividing the top number (numerator) by the bottom number (denominator). For example, to change 34\frac{3}{4} into a decimal, do 3÷4=0.753 \div 4 = 0.75.

  2. Using Powers of Ten: If the bottom number is a power of 10, just place the decimal point where it belongs. For example, 25100=0.25\frac{25}{100} = 0.25.

How to Convert Decimals to Percentages:

  1. Multiply by 100: To turn a decimal into a percentage, multiply it by 100 and add the % symbol. For example, 0.85×100=85%0.85 \times 100 = 85\%.

  2. Move the Decimal Point: Another way is to move the decimal point two spaces to the right. So, 0.450.45 becomes 45%45\%.

How to Convert Percentages to Fractions:

  1. Write it as a Fraction: You can write a percentage as a fraction over 100. For example, 50%50\% can be written as 50100\frac{50}{100}. When you simplify that, it becomes 12\frac{1}{2}.

  2. Convert to Decimal First: Change the percentage to a decimal first, then convert that to a fraction. For instance, 60%60\% goes to 0.600.60, then to 60100\frac{60}{100}, and that simplifies to 35\frac{3}{5}.

Practice Makes Perfect:

The more you practice these conversions, the easier they become!

Knowing how to do these conversions is really important because many students struggle with them. In fact, a recent survey showed that 60% of Year 7 students had a tough time with these changes.

So don’t worry—keep practicing, and you’ll get the hang of it!

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