What is 4.65 converted to a fraction? The answer should be given in simplest form.
To convert 4.65 to a fraction, we can express this number as a fraction over 1.
4.65 = 4.65/1
Now, to simplify this fraction, we need to get rid of the decimal point. We can do this by multiplying both the numerator and denominator by 100, since there are two decimal places in the number.
4.65/1 = (4.65 * 100) / (1 * 100)
= 465/100
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5.
465/100 = (465 ÷ 5) / (100 ÷ 5)
= 93/20
Therefore, 4.65 converted to a fraction in simplest form is 93/20.
What 93/20 in it simplest form
To simplify the fraction 93/20, we need to find the greatest common divisor (GCD) of the numerator (93) and the denominator (20), and then divide both by this GCD.
The prime factorization of 93 is: 93 = 3 * 31
The prime factorization of 20 is: 20 = 2^2 * 5
The common factors of 93 and 20 are 1. The GCD is therefore 1.
Dividing both the numerator and denominator by 1:
93/20 = (93 ÷ 1) / (20 ÷ 1)
= 93/20
Since the GCD is 1, the fraction 93/20 is already in simplest form and cannot be simplified further.
To convert 4.65 to a fraction, we need to determine the place value of the decimal. Since the decimal is two places to the right of the ones place, we can write 4.65 as a fraction by using a denominator of 100 because there are 2 decimal places.
4.65 can be written as 465/100 because we move the decimal two places to the right.
To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor, which is 5.
Dividing 465/100 by 5, we get:
465 ÷ 5 = 93
100 ÷ 5 = 20
Therefore, 4.65 as a simplified fraction is 93/20.