What is 10/1 1/2% written as a fraction in simplest form?(1 point)
Responses
21/200
Start Fraction 21 over 200 End Fraction
10/1 1/2
10 Start Fraction 1 over 2 End Fraction
10.5/100
Start Fraction 10.5 over 100 End Fraction
21/2
To find 10/1 1/2% as a fraction in simplest form, first convert the mixed number to an improper fraction.
10/1 is equivalent to 10 as a fraction.
To convert 1/2% to a fraction, divide it by 100.
1/2% = 1/2 ÷ 100 = 1/200
So, 10/1 1/2% = 10 + 1/200
To add the fractions, find a common denominator, which in this case is 200.
10 = 10/1 = 200/20
1/200 remains the same.
Now, add the fractions:
10/1 + 1/200 = 200/20 + 1/200
To add the fractions, they need to have a common denominator. Multiply the numerator and denominator of the first fraction by 10 to make it have a denominator of 200.
Thus,
200/20 + 1/200 = 2000/200 + 1/200 = (2000 + 1)/200
The numerator becomes 2001.
Therefore, 10/1 1/2% written as a fraction in simplest form is 2001/200 or Start Fraction 2001 over 200 End Fraction.