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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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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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.
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