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What’s 20 of 50

Grade 6 Math Worksheets

20 of 50 refers to calculating a number’s percentage, fraction, or decimal. Here, we’re trying to find what 20 represents as a portion of 50.

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What's 20 of 50 - Grade 6 Math Worksheet PDF

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Let’s understand

Percent refers to a measurement indicating a portion of a whole expressed relative to 100. The term “percent” is a combination of “per,” which signifies “out of,” and “cent,” representing “100.”

For instance, when we say 40%, we’re saying 40 out of 100, which simplifies to 2/5 or 0.4.

To find percentage we use the formula Percentage = (Part / Whole) x 100

A fraction is a mathematical representation of a part of a whole or a ratio between two quantities. It can be represented as a/b, where a and b are integers (whole numbers), and b is not equal to 0.

For instance, 3/4 means three out of four equal parts or three-quarters of the whole. 

 

A decimal is a numerical representation that includes a decimal point separating the whole number from the fractional part.

 

For instance, in the decimal number 3.14,

  • The whole number part is 3.
  • The fractional part is 0.14.

20 of 50 can indeed be expressed as a percentage, fraction, decimal, or ratio.

Percentage: 20 out of 50 can be expressed as a percentage by dividing 20 by 50 and then multiplying by 100:
Percentage = (20 / 50) x 100 = 40%

Fraction: The fraction representing 20 out of 50 is 20/50, which can be simplified to 2/5.

Decimal: To express 20 out of 50 as a decimal, divide 20 by 50:
Decimal = 20 / 50 = 0.4.

Ratio: The 20 out of 50 ratio can be expressed as 20:50, simplified to 2:5.

Other similar examples

 

Example 1: 25 of 75

Percentage: (25 / 75) x 100 = 33.33…%

Fraction: 25/75 (which can be simplified to 1/3)

Decimal: 25 / 75 = 0.333…

Ratio: 25:75 (which can be simplified to 1:3)

Example 2: Out of 80 students, 25 scored above 90 on their exam. Express this situation as a percentage, fraction, and decimal.

Percentage: (25 / 80) * 100 = 31.25%

Fraction: 25/80 (which can be left as is)

Decimal: 25 / 80 = 0.3125

 

Example 3: In a box of 48 chocolates, 4.2 are filled with caramel. Express this situation as a percentage, fraction, and decimal.

Percentage: (4.2 / 48) x 100 = 8.75%

Fraction: 4.2/48 (which can be simplified as 21/240 or 7/80)

Decimal: 4.2 / 48 = 0.0875

 

Example 4: A pack of 30 batteries costs $15. What is the cost of one battery? Express the answer as a percentage, a fraction, and a decimal.

The cost of one battery can be found by dividing the total cost by the number of batteries.

Cost of one battery = Total cost / Number of batteries 

Cost of one battery = $15 / 30 Cost of one battery = $0.5

Now, let’s express the cost of one battery in different forms.

 

Percentage = (Cost of one battery / Total cost) x 100 

Percentage = ($0.5 / $15) x 100 = 3.33…%

Percentage = 3.33…%

 

Fraction = Cost of one battery / Total cost 

Fraction = $0.5 / $15 

Fraction = 1/30

 

Decimal = Cost of one battery / Total cost 

Decimal = $0.5 / $15

 Decimal = 0.0333…

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Example 5: A box contains 24 candies and costs $12. What is the cost of one candy? Express the answer as a percentage, a fraction, and a decimal.

The cost of one candy can be found by dividing the total cost by the number of candies.

Cost of one candy = Total cost / Number of candies 

Cost of one candy = $12 / 24 

Cost of one candy = $0.5

 

Percentage = (Cost of one candy / Total cost) x 100 

Percentage = ($0.5 / $12) x 100 

Percentage = 4.166…%

 

Fraction = Cost of one candy / Total cost 

Fraction = $0.5 / $12 

Fraction = 1/24

 

Decimal = Cost of one candy / Total cost 

Decimal = $0.5 / $12 

Decimal = 0.0416…

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FAQs

What does "20 of 50" mean?

“20 of 50” refers to calculating a fraction or percentage of a whole number. It represents the relationship between the value 20 and the total value 50.

How can I express "20 of 50" as a percentage?

To express “20 of 50” as a percentage, divide 20 by 50 and multiply by 100. It becomes (20 / 50) x 100 = 40%. So, 20 is 40% of 50.

Are percentages limited to 0% and 100%?

Percentages can go beyond 100%. Values greater than 100% indicate that the part is larger than the whole or that you have more than one complete unit.

Is there a difference between fractions and ratios?

Yes, although both involve relationships between numbers, fractions are specific expressions of parts of a whole, while ratios compare quantities using division or a colon.

How do I convert a fraction to a decimal?

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/5 as a fraction is 0.6 as a decimal.

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

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