Question:
Convert 312% into fraction.
Correct Answer
3 3/25 Or, 78/25
Solution And Explanation
Solution
Method to convert a percent into fraction
Step (1) Divide the given percent by 100
Step (2) Remove the sign of percentage
Step (3) Simplify the obtained expression
Here we have to convert 312% into fraction.
1% = 312/100
Here the HCF of the numerator, 312, and the denominator, 100 is equal to 4. Thus we will divide the numerator and denominator of the above fraction by 4 to obtain the standard fraction.
Thus, 312/100 = 312 ÷ 4/100 ÷ 4
= 78/25
The fraction in which the numerator is greater than or equal to the denominator is known as an improper fraction.
Since, in the above fraction, the numerator is greater than the denominator so, it is an improper fraction. And, thus, the above fraction is not in the standard form. And hence it is necessary to convert it into a mixed fraction to get a correct answer.
= 3 3/25
Thus, 312% = 3 3/25 Or, 78/25 Answer
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