Grade 5 math percentage worksheets: Converting fractions, decimals

A percentage is a way of expressing a part of a whole as a fraction of 100. For example, if you have 25 apples out of 100, you can say that you have 25% of the apples. The symbol % means "per hundred" or "out of 100". You can also write 25% as a fraction of 25/100 or a decimal of 0.25. In fact, fractions, decimals, and percentages are all different ways of representing the same thing: a part of a whole.

To convert a fraction to a decimal, divide the numerator (the top number) by the denominator (the bottom number). For example, to convert 3/4 to a decimal, divide 3 by 4. You can use the long division method or a calculator to do this.

The answer is 0.75. This means that 3/4 is equivalent to 0.75 or 75%.

How do you convert decimals to percentages?

To convert a decimal to a percent, multiply it by 100 and add the % symbol. For example, to convert 0.75 to a percent, multiply it by 100. The answer is 75. Then you add the % symbol and get 75%. This means that 0.75 is equivalent to 75% or 3/4.

To convert a percent to a fraction, remove the % symbol and write it as a fraction with a denominator of 100. For example, to convert 75% to a fraction, remove the % symbol and write it as 75/100.

Then you can simplify the fraction by dividing both numbers by their greatest common factor (GCF). The GCF of 75 and 100 is 25, so divide both numbers by 25 and get 3/4. This means that 75% is equivalent to 3/4 or 0.75.

Some tricks can help students convert fractions into percentages faster and easier. Here are some examples:

• If the fraction's denominator is a power of 10 (such as 10, 100, or 1000), move the decimal point in the numerator to the right as many places as there are zeros in the denominator. For example;

  To convert 7/10 to a percent, move the decimal point in 7 one place to the right and get 70%. To convert 9/1000 to a percent, move the decimal point in 9 three places to the right and get 0.9%.

• If the fraction's denominator is a multiple of 10 (such as 20, 50, or 200), simplify the fraction by dividing both numbers by their GCF and then use the previous trick. For example;

  To convert 12/50 to a percent, simplify it by dividing both numbers by their GCF, which is 2, and get 6/25. Then move the decimal point in 6, two places to the right, and get 600. Then divide it by 25 and get 24%.

• If the denominator of the fraction is not a power or multiple of 10 but can be easily converted into one by multiplying or dividing both numbers by another number (such as 2, 4, 5, or 10), do that first and then use one of the previous tricks. For example, to convert 3/8 to a percent, multiply both numbers by 25 and get 75/200. Then simplify it by dividing both numbers by their GCF, which is 25, and get 3/8. Then move the decimal point in 3 two places to the right and get 300. Then divide it by 8 and get 37.5%.

A calculator can be used to convert decimals into percentages easily. Here are the steps:

• Enter the decimal number on the calculator.
• Press the multiply button (*).
• Enter 100 on the calculator.
• Press the equal button (=).
• The answer will be the percentage equivalent of the decimal number.

For example, to convert 0.75 to a percent using a calculator, enter 0.75, press *, enter 100, press =, and get 75%.

Now that your 5^th graders know how to convert fractions, decimals, and percentages, it's time for them to practice these skills with some fantastic Grade 5 Math Percentage worksheets. MathSkills4Kids’ worksheets will help them master the concepts and have fun at the same time.

Go up there and download them!

If you want to challenge your 5^th Grade students even more, you can try these percentage word problems. These problems test their ability to apply their percentage skills in real-life situations. They can use a calculator or do them mentally. 5^th Graders can try to do them independently before looking at the solutions. Here are some examples:

1. A shirt costs $40 and is on sale for 20% off. How much is the discount? How much do you pay for the shirt after the discount?
2. A class of 30 students took a math test. 18 students got an A, 6 got a B, 4 got a C, and 2 got a D. What percentage of the class got an A? What percentage of the class got a B or higher?
3. A recipe for chocolate cake calls for 2 cups of flour, 1 cup of sugar, 1/2 cup of cocoa powder, 1/4 cup of oil, 2 eggs, and 1 teaspoon of baking soda. You want to make half of the recipe. How much of each ingredient do you need?