What is 1012% written as a fraction in simplest form?(1 point)
Responses
1012
10 Start Fraction 1 over 2 End Fraction
21200
Start Fraction 21 over 200 End Fraction
212
Start Fraction 21 over 2 End Fraction
10.5100
To convert a percentage to a fraction, you divide the percentage by 100 and simplify the resulting fraction, if necessary.
To find the fraction equivalent of 1012%, you will divide 1012 by 100:
1012 ÷ 100 = 10.12
Next, simplify this decimal as a fraction. Since there are two decimal places, you will put the decimal part (12) over a power of 10. In this case, it will be 10², which is 100:
10.12 = 10.12/1 = 10.12/1 × 100/100 = 1012/100
Finally, simplify the fraction:
1012/100 = 1012 ÷ 4/100 ÷ 4 = 253/25
Therefore, the fraction equivalent of 1012% in simplest form is 253/25.