Convert 0.96 to a fraction. The answer should be given in simplest form.(1 point)
Responses
9/6
Start Fraction 9 over 6 End Fraction
24/25
Start Fraction 24 over 25 End Fraction
96/100
Start Fraction 96 over 100 End Fraction
48/50
The answer is 24/25.
To convert 0.96 to a fraction in simplest form, follow these steps:
Step 1: Write 0.96 as the fraction 0.96/1.
Step 2: Multiply both the numerator and denominator by 100 to get rid of the decimal point. This gives 96/100.
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4. This gives 24/25.
Therefore, the answer is Start Fraction 24 over 25 End Fraction.
To convert a decimal to a fraction, follow these steps:
Step 1: Write down the decimal number. In this case, the decimal number is 0.96.
Step 2: Multiply both the numerator and denominator by 100 (or a power of 10) to remove the decimal point. Since there are two decimal places, we multiply by 100.
0.96 * 100 = 96.
So, 0.96 can be written as the fraction 96/100.
Step 3: Simplify the fraction, if possible. To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, and then divide both the numerator and denominator by the GCD.
The GCD of 96 and 100 is 4.
Dividing both the numerator and denominator by 4, we get:
96 ÷ 4 = 24.
100 ÷ 4 = 25.
Therefore, 96/100 in simplest form is 24/25.
So, the answer is:
Start Fraction 24 over 25 End Fraction.