What is 12.8 converted to a fraction? The answer should be given in simplest form.(1 point) Responses 12225 12 Start Fraction 2 over 25 End Fraction 128 Start Fraction 12 over 8 End Fraction 1245 12 Start Fraction 4 over 5 End Fraction 12810
The decimal number 12.8 can be written as a fraction in simplest form as 128/10.
To convert 12.8 to a fraction in simplest form, we can do the following steps:
Step 1: Write down the whole number part of the decimal, which is 12.
Step 2: Convert the decimal part to a fraction by writing the digits after the decimal point as the numerator and the place value as the denominator. Since 8 is in the tenths place, the fraction would be 8/10.
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor. In this case, the greatest common factor between 8 and 10 is 2. So, dividing both by 2, we get 4/5.
Step 5: Combine the whole number part with the fraction. The final answer is 12 4/5.
Therefore, the fraction equivalent of 12.8, in simplest form, is 12 4/5.
To convert a decimal number to a fraction, follow these steps:
Step 1: Write down the decimal number as the numerator (the top part of the fraction).
In this case, the decimal number is 12.8, so the numerator will be 12.8.
Step 2: Determine the denominator (the bottom part of the fraction) based on the number of decimal places.
The original number has one decimal place, so the denominator will be 10 raised to the power equal to the number of decimal places. In this case, the denominator will be 10^1, which is 10.
Step 3: Simplify the fraction, if possible.
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 12.8 and 10 is 2.
Let's perform the calculations:
Numerator: 12.8 / 2 = 6.4
Denominator: 10 / 2 = 5
The simplified fraction is 6.4/5.
Therefore, the answer to the question "What is 12.8 converted to a fraction in simplest form?" is:
Start Fraction 6.4 over 5 End Fraction.