What is 12.8 converted to a fraction? The answer should be given in simplest form. (1 point)
12.8 as a fraction in simplest form is 128/10.
To convert 12.8 to a fraction, we can write it as a fraction with 10 as the denominator, since 10 has one decimal place.
Step 1: The whole number part is 12.
Step 2: The decimal part is 0.8.
Step 3: To write 0.8 as a fraction, we put the decimal part over the place value of the last digit. In this case, the last digit is 8, and its place value is 1/10.
So, 0.8 can be written as 8/10.
Now, we add the whole number part and the fractional part together:
12 + 8/10
To add these, we need a common denominator. The denominator of the fraction is 10, the same as the denominator of the whole number.
Adding the whole numbers:
12 + 0 = 12
Adding the fractions:
8/10 + 0/10 = 8/10
So, 12.8 converted to a fraction in simplest form is 12 8/10, which can be simplified to 12 4/5 or 128/10.
To convert a decimal to a fraction, we need to analyze the digits after the decimal point. In this case, the number is 12.8.
Step 1: Identify the place value of the decimal. Here, 8 is in the tenths place.
Step 2: Write the decimal as a fraction over a power of 10. Since 8 is in the tenths place, we can write it as 8/10.
Step 3: Simplify the fraction. To simplify, we need to divide both the numerator and denominator by their greatest common divisor, which is 2 in this case.
8/2 = 4
10/2 = 5
So, the simplified fraction is 4/5.
Therefore, 12.8 is equivalent to the fraction 4/5 in its simplest form.