what is 4.65 converted to a fraction? the answer should be given in simplest form
4 65/400
4 6/5
4/65
4 13/20
4.65 = 4 + 0.65
Since 0.65 is equivalent to 65/100, we can rewrite it as:
4.65 = 4 + 65/100
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5.
Thus, we have:
4.65 = 4 + 65/100 = 4 + (65/5) / (100/5) = 4 + 13/20
Therefore, 4.65 is equal to 4 13/20 in simplest form.
To convert 4.65 into a fraction, you need to understand the place value of each digit. The whole number part, 4, represents the value in the units place. The decimal part, 0.65, represents the value in the tenths and hundredths places.
To convert the decimal part into a fraction, you can write it as a numerator over a denominator where the denominator is a power of 10. In this case, 0.65 can be expressed as 65/100 because it is in the hundredths place.
Next, simplify the fraction by dividing the numerator and denominator by their greatest common divisor. In this case, both 65 and 100 can be divided by 5, yielding 13/20.
So, 4.65 can be written as the mixed number 4 13/20.
To convert the decimal number 4.65 to a fraction, you need to follow the steps below:
1. Count the number of decimal places after the whole number (4). In this case, there are two decimal places.
2. Remove the decimal point and write down the digits as the numerator. In this case, the numerator is 465.
3. Determine the denominator by using the number 1 followed by the same number of zeros as the decimal places. Since there are two decimal places, the denominator is 100.
4. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
So, 4.65 as a fraction in simplest form is:
465/100
When simplified, the fraction becomes:
93/20