What is 4.65 converted to a fraction? The answer should be given in simplest form. (1 point)
The fraction equivalent of 4.65 in simplest form is 93/20.
To convert 4.65 to a fraction, we need to look at the decimal places. There are two decimal places in 4.65.
Step 1: We can start by writing 4 as a fraction, which is 4/1.
Step 2: To move the decimal places to the right in the decimal part, we multiply the numerator and denominator of the fraction by 100 (since there are two decimal places).
So, 4.65 can be written as (4 × 100 + 65) / 100.
Simplifying that gives us 465/100.
Step 3: To simplify the fraction, we divide both the numerator and denominator by their greatest common divisor (GCD), which is 5 in this case.
Dividing 465 by 5 gives us 93, and dividing 100 by 5 gives us 20.
Therefore, 4.65 can be simplified to the fraction 93/20 in simplest form.
To convert the decimal number 4.65 into a fraction, follow these steps:
Step 1: Identify the place value of the decimal number. In this case, 4.65 has two decimal places, so we need to shift the decimal point two places to the right to eliminate the decimal part.
Step 2: Multiply both the numerator and denominator by 10 raised to the power equal to the number of decimal places. Since we have two decimal places, we multiply by 100.
4.65 * 100 = 465
Step 3: The resulting number becomes the numerator of the fraction, and the denominator remains as 1.
The fraction equivalent to 4.65 is 465/100.
Step 4: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, both 465 and 100 have a common factor of 5.
Dividing both numerator and denominator by 5:
465 ÷ 5 = 93
100 ÷ 5 = 20
The simplified fraction is 93/20.
So, 4.65 converted to a fraction in simplest form is 93/20.