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Converting Fractions to Percentages Video Lecture | Mathematics for Grade 7
FAQs on Converting Fractions to Percentages Video Lecture - Mathematics for Grade 7
| 1. How do you convert a fraction to a percentage? |  |
To convert a fraction to a percentage, you need to divide the numerator (top number) by the denominator (bottom number) and then multiply the result by 100. The answer will be the fraction represented as a percentage.
| 2. Can you give an example of converting a fraction to a percentage? | |
Sure! Let's say we want to convert the fraction 3/4 to a percentage. First, we divide 3 by 4, which equals 0.75. Then, we multiply 0.75 by 100 to get the percentage. Therefore, 3/4 is equal to 75% as a percentage.
| 3. What should I do if the fraction has a denominator that is not a multiple of 100? | |
If the denominator of the fraction is not a multiple of 100, you can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). Then, you can proceed to convert the simplified fraction to a percentage using the previous method.
| 4. How can I convert a mixed number to a percentage? | |
To convert a mixed number to a percentage, you first convert the whole number part to a percentage by multiplying it by 100. Then, you convert the fractional part to a percentage using the method mentioned earlier. Finally, you add the two percentages together to get the final percentage.
| 5. Is there an easier way to convert fractions to percentages without using division and multiplication? | |
Yes, there is another method called the decimal method. In this method, you can convert the fraction to a decimal by dividing the numerator by the denominator. Once you have the decimal representation, you can move the decimal point two places to the right to get the percentage. For example, if the decimal is 0.25, you move the decimal point to get 25%.
Text Transcript from Video
- right forty percent as a fraction in
lowest terms remember that a percent is
a ratio that compares the number to one
hundred so forty percent can be written
as the ratio 40 to 100 or 40 over 100
notice however that 40 over 100 is not
in lowest terms so we need to divide the
numerator and denominator by the
greatest common factor of 40 and 100
which is 20 to get two-fifths so forty
percent can be written as a fraction 2/5
lowest terms remember that a percent is
a ratio that compares the number to one
hundred so forty percent can be written
as the ratio 40 to 100 or 40 over 100
notice however that 40 over 100 is not
in lowest terms so we need to divide the
numerator and denominator by the
greatest common factor of 40 and 100
which is 20 to get two-fifths so forty
percent can be written as a fraction 2/5
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