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Converting Fractional Numbers to Percentage Video Lecture - (Maths) Class

FAQs on Converting Fractional Numbers to Percentage

1. How do you convert a fractional number to a percentage?
To convert a fractional number to a percentage, you can follow these steps: 1. Divide the numerator of the fraction by the denominator. 2. Multiply the result by 100 to get the decimal form. 3. Add the percentage symbol (%) to the decimal to obtain the percentage form. For example, to convert the fraction 3/4 to a percentage: 1. Divide 3 by 4: 3 ÷ 4 = 0.75. 2. Multiply 0.75 by 100: 0.75 × 100 = 75. 3. Add the percentage symbol: 75%.
2. Can you provide an example of converting a fractional number to a percentage?
Certainly! Let's convert the fraction 2/5 to a percentage: 1. Divide 2 by 5: 2 ÷ 5 = 0.4. 2. Multiply 0.4 by 100: 0.4 × 100 = 40. 3. Add the percentage symbol: 40%. So, the fraction 2/5 is equal to 40% when converted to a percentage.
3. Is there a shortcut method to convert a fractional number to a percentage?
Yes, there is a shortcut method to convert a fractional number to a percentage. You can simply multiply the fraction by 100 to get the percentage form. For example, to convert the fraction 5/8 to a percentage using the shortcut method: 1. Multiply 5 by 100: 5 × 100 = 500. 2. Divide the result by 8: 500 ÷ 8 = 62.5. 3. Add the percentage symbol: 62.5%. So, the fraction 5/8 is equal to 62.5% when converted to a percentage using the shortcut method.
4. How can I convert a mixed number to a percentage?
To convert a mixed number to a percentage, you first need to convert it to an improper fraction and then apply the steps to convert a fraction to a percentage. For example, let's convert the mixed number 1 3/4 to a percentage: 1. Convert the mixed number to an improper fraction: 1 3/4 = (4 × 1 + 3) / 4 = 7/4. 2. Divide 7 by 4: 7 ÷ 4 = 1.75. 3. Multiply 1.75 by 100: 1.75 × 100 = 175. 4. Add the percentage symbol: 175%. So, the mixed number 1 3/4 is equal to 175% when converted to a percentage.
5. Can you explain how to convert a percentage to a fractional number?
Certainly! To convert a percentage to a fractional number, you can follow these steps: 1. Remove the percentage symbol (%) from the number. 2. Write the number as a fraction with the value of the percentage as the numerator and 100 as the denominator. 3. Simplify the fraction, if possible. For example, to convert 30% to a fractional number: 1. Remove the percentage symbol: 30. 2. Write the number as a fraction: 30/100. 3. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor: 30/100 = 3/10. So, 30% is equal to 3/10 when converted to a fractional number.
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