Convert 0.96 to a fraction. The answer should be given in simplest form.(1 point)
Responses
2425
Start Fraction 24 over 25 End Fraction
96
Start Fraction 9 over 6 End Fraction
4850
Start Fraction 48 over 50 End Fraction
96100
Start Fraction 24 over 25 End Fraction
To convert 0.96 to a fraction, we can follow these steps:
Step 1: Let's write down the decimal number as a fraction with a denominator of 1. In this case, we have 0.96/1.
Step 2: Next, we want to remove the decimal point. To do this, we can multiply the numerator and denominator by 100, because there are two digits after the decimal point. So, we have: (0.96 × 100)/(1 × 100) = 96/100.
Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 96 and 100 is 4.
Step 4: Divide both the numerator and denominator by the GCD (4). Therefore, 96/100 simplifies to (96 ÷ 4)/(100 ÷ 4) = 24/25.
So, 0.96 can be written as the fraction 24/25 in simplest form.
To convert a decimal to a fraction, follow these steps:
1. Write the decimal as a fraction with the decimal number as the numerator and 1 as the denominator. For example, 0.96 as a fraction would be 0.96/1.
2. Multiply both the numerator and denominator by 100 to remove the decimal. This step is necessary because the decimal place is two places to the right (0.96).
Multiplying the numerator by 100 gives you 96 and leaving the denominator as 1 gives you 100.
3. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, and divide both the numerator and denominator by the GCD.
In this case, the GCD of 96 and 100 is 4. Dividing 96 by 4 gives you 24, and dividing 100 by 4 gives you 25.
So, the fraction equivalent to 0.96 is 24/25.