What is 12.8 converted to a fraction? The answer should be given in simplest form
To convert 12.8 into a fraction, we can recognize that .8 is the same as 8/10 or 4/5. Thus, we can write 12.8 as 12 + 4/5.
Then, the next step is to convert the whole number part, 12, into a fraction. Since 12 is equivalent to 12/1, we can rewrite the expression as (12/1) + 4/5.
To add the two fractions together, we need a common denominator. The least common denominator of 1 and 5 is 5.
Therefore, we need to rewrite 12/1 as an equivalent fraction with a denominator of 5. Multiplying the numerator and denominator of 12/1 by 5, we have (12 * 5)/(1 * 5), which equals 60/5.
Now, we can add the two fractions: (60/5) + (4/5) = (60 + 4)/5 = 64/5.
The fraction 12.8 is equivalent to 64/5 in simplest form.
To convert the decimal number 12.8 to a fraction, we can follow these steps:
Step 1: Write down the decimal number as a fraction. The number 12.8 can be written as 12.8/1.
Step 2: Multiply both the numerator and denominator by 10 until the decimal part is removed. In this case, we will multiply by 10 once, which gives us 128/10.
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 128 and 10 is 2. So, when we divide both numbers by 2, we get 64/5.
Therefore, 12.8 is equivalent to the fraction 64/5 in simplest form.