4.65 converted to a fraction in the simplest form given.
A. 4 13/20
B. 4 65/100
C. 4 6/5
D. 4/65
To convert a decimal to a fraction, we first write down the decimal as a fraction with the decimal part as the numerator and the place value as the denominator.
Given 4.65, the decimal part is 65 and the place value is 100, since there are two decimal places. Therefore, the fraction is 65/100.
To simplify this fraction, we can divide both the numerator and denominator by 5:
65/100 รท 5 = 13/20
So, the fraction in simplest form is 13/20.
Therefore, the correct answer is A. 4 13/20.
To convert a decimal number to a fraction, you can follow these steps:
Step 1: Determine the denominator
The denominator of the fraction will depend on the number of decimal places. In this case, the given number has two decimal places, so the denominator will be 100.
Step 2: Write the whole number part
Write down the whole number part of the decimal, which is 4 in this case.
Step 3: Write the fractional part
To convert the decimal part to a fraction, we take the digits after the decimal point. In this case, that is 65.
Step 4: Simplify the fraction (if necessary)
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 65 and 100 is 5. When we divide both numbers by 5, we get 13/20.
So, the answer is A. 4 13/20.
To convert a decimal number to a fraction in simplest form, follow these steps:
Step 1: Express the decimal number as a fraction by putting the decimal part over the appropriate power of 10.
In this case, the decimal number is 4.65. Since there are two decimal places, the decimal part can be written as 65/100.
Step 2: Simplify the fraction, if possible, by dividing both the numerator and the denominator by their greatest common divisor.
The greatest common divisor of 65 and 100 is 5. Dividing both 65 and 100 by 5 gives us 13/20.
Therefore, the simplest form of 4.65 as a fraction is 4 13/20.
So, the correct answer is A. 4 13/20.