What is 4.65 converted to a fraction? The answer should be given in the simplest form
4/65
4 65/100
4 13/20
4 6/5
The correct answer is 4 13/20.
To convert 4.65 to a fraction in simplest form, we can follow these steps:
Step 1: Write down the decimal as a fraction over 1, and remove the decimal point.
4.65 becomes 465/100.
Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD).
The GCD of 465 and 100 is 5, so we divide both numbers by 5:
465 ÷ 5 = 93
100 ÷ 5 = 20
Therefore, 4.65 as a fraction in simplest form is 93/20.
To convert a decimal number to a fraction, follow these steps:
1. Write down the decimal number as the numerator of the fraction.
2. Determine the denominator based on the number of decimal places in the original number.
For example, in the given decimal number 4.65, there are two decimal places. Since each decimal place represents a multiple of 10, we set the denominator as 10 raised to the power of the number of decimal places. In this case, the denominator will be 10^2, which is 100.
Now we can write the number as a fraction: 4.65/1.
To simplify the fraction, we need to divide both the numerator and denominator by their greatest common divisor (GCD). In this case, dividing both by 5 gives us the simplified fraction of 93/20.
Therefore, 4.65 is equivalent to the fraction 93/20 in simplest form.