Convert 0.96 to a fraction. The answer should be given in simplest form.
9/6
24/25
96/100
48/50
The fraction that is equivalent to 0.96 is 24/25.
Decimals as Rational Numbers Quick Check
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Question
What is 0.04 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses
410
Start Fraction 4 over 10 End Fraction
250
Start Fraction 2 over 50 End Fraction
125
Start Fraction 1 over 25 End Fraction
25
Start Fraction 2 over 5 End Fraction
To convert 0.96 to a fraction, we can start by writing it as a fraction with the decimal part as the numerator and with a denominator of 1.
So, 0.96 can be written as 0.96/1.
To simplify this fraction, we need to find a common factor in the numerator and the denominator.
In this case, we can divide both the numerator and the denominator by 0.01 to simplify the fraction.
0.96/1 = 96/100
The fraction 96/100 is in its simplest form.
To convert a decimal number to a fraction, you need to identify the place value of the decimal and express it as a fraction over a power of 10. Here's how you can do it for the number 0.96:
Step 1: Count the number of decimal places. In this case, there are two decimal places after the 9.
Step 2: Write the number without the decimal point as the numerator. So, the numerator is 96.
Step 3: Write 1 followed by the same number of zeros as the number of decimal places as the denominator. Since there are two decimal places, the denominator is 100.
Therefore, 0.96 can be expressed as the fraction 96/100.
To simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 96 and 100 is 4.
Dividing both the numerator and denominator by 4 gives us:
96 ÷ 4 / 100 ÷ 4
24 / 25
So, the fraction equivalent of 0.96 in simplest form is 24/25.