# Convert Fractions to Percentages without a Calculator – Maths with Mum

We can take a divide out of 100 and write its numerator as a percentage. The count on peak of a fraction, above the divide line. numerator The number on top of a fraction, above the separate credit line. The total on the bottom of the fraction.

denominator The number on the bed of the fraction. The number on top of the fraction. numerator The count on peak of the fraction .

## What is a Percentage?

A percentage is a value out of 100. Percent means ‘out of 100’. We can write the number as a fraction out of 100 or we can use the % symbol. The % symbol is a light way to write ‘ out of 100 ’ as a fraction. The word ‘ percentage ’ is made up of two parts. The ‘per’ means ‘out of’ and the ‘cent’ means ‘100’. In our minds, we can replace the give voice ‘percent’ with the words ‘out of 100’. For case, 33 % equitable means 33 out of 100. This can besides be written as a fraction as 33 / 100. here is 73 percentage. 73 percentage is 73 out of 100. We can write this as 73 / 100. The percentage symbol, ‘ % ’ is frequently used alternatively of writing / 100. We can write 73 out of 100 as 73 %. The % sign can be thought of as mean ‘ out of 100 ’. In this model, we have 2 percentage. We can replace the parole ‘percent’ with the words ‘out of 100’. 2 percentage means 2 out of 100. We can write this as 2 / 100. We can write this more easily as 2 %.

## How to Convert a Fraction to a Percentage without a Calculator

To convert fractions to percentages without a calculator, use the following steps:

• Multiply the denominator (bottom) of the fraction by a number to make the denominator equal 100.
• Multiply the numerator (top) of the fraction by the same number.
• Take this new numerator and write a % sign after it.

If the fraction is already out of 100, then we simply write the numerator with a share sign after it. For exemplar, the divide of 12 / 100 is already out of 100. We merely take the numerator on circus tent of the fraction, which is 12, and write a share sign after it. 12 / 100 is 12 %. We will now look at examples of writing a divide as a share without a calculator, where the fraction is not out of 100. here we have the divide 8 / 50. We can see that it is out of 50, not out of 100. The inaugural step is to write it as an equivalent divide out of 100. We need to multiply the 50 to make it 100. We need to figure out how many times 50 divides into 100. 50 × 2 = 100 and thus, we multiply the denominator by 2. When finding equivalent fractions, we need to multiply the numbers on top and bottom by the same come. Because we multiplied 50 by 2, we need to multiply 8 by 2 arsenic well. 8 × 2 = 16 and so our divide is now 16 / 100. 8 / 50 is precisely the like come as 16 / 100. We say that these fractions are equivalent. now that our divide is our of 100, it is a share. A percentage is just a fraction out of 100. We can write 16 / 100 more easily at 16 %.

We take the numerator of 16 and put a percentage signal after it. The divide 8 / 50 written as a share is 16 %. This besides means that 8 is 16 % of 50. here is another example of writing 11 out of 25 as a percentage without a calculator. The first step is to multiply the act on the bottom so that it equals 100. Remember that we need our divide to be out of 100, not 25. 25 goes into 100 four times and so, we multiply by 4. The next step is to multiply the number on the top of the fraction by the like amount. Because we multiplied the bottom by 4, we will multiply the top by 4 excessively. The fraction 11 / 25 is equivalent to 44 / 100. 11 / 25 is 44 %. In this example we have 7 / 20. 20 goes into 100 five times and thus, we multiply the top and bottom of the divide by 5. Multiplying the numerator by 5, we get 35. 7 / 20 is the same as 35 / 100. The divide 7 / 20 is 35 %. This besides means that 7 is 35 % of 20. In this model of turning fractions into percentages, we have 3 / 10. We multiply the numerator and the denominator both by 10 to find an equivalent fraction out of 100. 3 out of 10 is 30 out of 100. 3 / 10 is 30 %. This besides means that 3 is 30 % of 10. then far we have been able to convert fractions into percentages without a calculator because we could use our times tables to make fractions out of 100. sometimes it is not therefore obvious how to make a fraction out of 100. In this subject, we can multiply in steps. here is 4 / 5. The first measure to turn this fraction into a percentage is to make the total on the bottomland peer to 100 by multiplying it. You may not know how many times 5 goes into 100 and so, we can precisely make it equal 10 for now. We can multiply the top and buttocks by 2. We multiply 5 by 2 and so we multiply 4 by 2. 4 / 5 is equivalent to 8 / 10. We can now multiply 10 by 10 to make it equal 100. 4 / 5 = 8 / 10 = 80 / 100. 80 / 100 is 80 %. then 4 / 5 is 80 %. This besides means that 4 is 80 % of 5. We can see that if we did this in one step, we still get the same solution. We turn this fraction into a share without a calculator in one step .
100 ÷ 5 = 20 because 10 ÷ 5 = 2.
We can multiply 4 by 20 and 5 by 20 to find our equivalent fraction in one gradation. We still get 80 out of 100.

80 out of 100 is 80 %.

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