What is 4.65 converted to a fraction? The answer should be given in simplest form.
A. 4 6/5
B. 4 65/100
C. 4/65
D. 4 13/20
D. 4 13/20
To convert the decimal number 4.65 to a fraction, follow these steps:
Step 1: Count the decimal places.
The number 4.65 has 2 decimal places.
Step 2: Move the decimal places to the right to obtain a whole number.
Multiply both the numerator and denominator of 4.65 by 100 (10 raised to the power of the number of decimal places).
4.65 * 100 = 465
Step 3: Simplify the fraction.
The fraction form of 465/100 can be simplified by finding the greatest common factor (GCF) of the numerator and denominator.
The GCF of 465 and 100 is 5.
Dividing both the numerator and denominator of 465/100 by 5 results in:
465 ÷ 5 = 93
100 ÷ 5 = 20
Therefore, the simplified fraction form of 4.65 is 93/20.
So, the correct answer is:
D. 4 13/20
To convert a decimal to a fraction, follow these steps:
1. Count the number of decimal places in the decimal. In this case, there are two decimal places (0.65).
2. Write the decimal as the numerator of the fraction, ignoring the decimal point. In this case, the numerator is 65.
3. Write the denominator as a power of 10 based on the number of decimal places. Since there are two decimal places, the denominator is 100 (10^2).
4. Simplify the fraction, if possible, by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 65 and 100 is 5. Dividing both the numerator and denominator by 5 gives us 13/20.
5. Write the whole number part if there is one. In this case, the whole number part is 4.
So, 4.65 converted to a fraction in simplest form is D. 4 13/20.