Question

What is 4.65 converted to a fraction? The answer should be given In simplest form

Answer 1

465100
4 Start Fraction 65 over 100 End Fraction

41320
4 Start Fraction 13 over 20 End Fraction

465
Start Fraction 4 over 65 End Fraction

465

Answer 2

To convert the decimal number 4.65 to a fraction, we can follow these steps:

Step 1: Let x be the given decimal number.
x = 4.65

Step 2: Since there are two decimal places in 4.65, we want to multiply both sides of the equation by 100 (10 raised to the power of 2) to eliminate the decimal places.
100x = 4.65 * 100
100x = 465

Step 3: Convert the equation to a fraction by placing 465 over the denominator 100.
x = 465/100

Step 4: Simplify the fraction by finding the greatest common divisor (GCD) of 465 and 100, which is 5.
x = (465/5)/(100/5)
x = 93/20

Therefore, 4.65 is equivalent to the fraction 93/20 in simplest form.