What is 6.4 written as a fraction? Simplified
6.4 written as a fraction is 32/5. Simplified, it is 6 2/5.
To write 6.4 as a fraction, we need to convert the decimal to a fraction.
Step 1: Count the number of digits after the decimal point. In this case, there is only one digit after the decimal point, so the denominator of the fraction will be 10.
Step 2: Write the decimal as the numerator of the fraction. So, the fraction is 6.4/10.
Step 3: Simplify the fraction if possible. In this case, the fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2.
6.4 ÷ 2 = 3.2
10 ÷ 2 = 5
So, the simplified fraction is 3.2/5.
To express a decimal number as a fraction, we need to determine the place value of the decimal.
For the number 6.4, the digit 4 is in the tenths place because it is one place to the right of the decimal point. Therefore, we can write it as 6 and 4 tenths.
To convert it to a fraction, we can write it as 6 4/10. However, we can simplify this fraction by simplifying the numerator and the denominator.
Both 4 and 10 are divisible by 2, so we can divide both by 2.
When we simplify 4/10, we get 2/5.
Therefore, 6.4 can be written as the simplified fraction 6 2/5.