What is 12.8 converted to a fraction? The answer should be given in simplest form.(1 point) Responses 12810 12 Start Fraction 8 over 10 End Fraction 1245 12 Start Fraction 4 over 5 End Fraction 12225 12 Start Fraction 2 over 25 End Fraction 128 Start Fraction 12 over 8 End Fraction
The correct fraction equivalent of 12.8 in simplest form is 128/10.
To convert 12.8 to a fraction in simplest form, follow these steps:
Step 1: Write down the whole number part, which is 12.
Step 2: Since there is one digit after the decimal point, the denominator of the fraction will be 10 raised to the power of 1, which is 10.
Step 3: Write down the decimal part (the digit 8) as the numerator of the fraction.
Putting it all together, the fraction representation of 12.8 is:
12.8 = 12 + 8/10
Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
12.8 = 12 + 8/10 = 12 + 4/5
Therefore, 12.8 is equal to 12 4/5 when expressed as a mixed number fraction in simplest form.
To convert a decimal number to a fraction, you need to follow a few steps. In this case, the decimal number is 12.8.
Step 1: Identify the place value of the decimal number. In this case, the number is tenths because it is one digit to the right of the decimal point.
Step 2: Write the decimal number as a fraction, with the decimal part as the numerator and the place value as the denominator. So, the fraction will be 12.8/10.
Step 3: Simplify the fraction. To simplify, find the greatest common divisor (GCD) of the numerator and the denominator, and divide both by it. In this case, the GCD of 12.8 and 10 is 0.8. Divide both the numerator and denominator by 0.8 to simplify the fraction.
12.8 ÷ 0.8 = 16 and 10 ÷ 0.8 = 12.5
So, the simplified fraction is 16/12.5.
However, you mentioned that the answer should be in simplest form. To simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor (GCD) which is 4.
16 ÷ 4 = 4 and 12.5 ÷ 4 = 3.125
Therefore, the decimal number 12.8 when converted to a fraction in simplest form is 4/3.125.