What is 4.65 converted to a fraction? The answer should be given In simplest form
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.
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
To convert 4.65 to a fraction, we can multiply both the numerator and denominator by 100 to get rid of the decimal point.
4.65 can be written as 465/100.
Next, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which in this case is 5.
Dividing 465 by 5 gives us 93, and dividing 100 by 5 gives us 20.
Therefore, 4.65 as a fraction in simplest form is 93/20.
To convert a decimal into a fraction, you can follow these steps:
Step 1: Write down the decimal as the numerator (top number) of the fraction.
In this case, the decimal is 4.65, so the numerator is 4.65.
Step 2: Determine the denominator (bottom number) of the fraction based on the number of decimal places. For each decimal place, you add a zero to the number 1. Since there are two decimal places in 4.65, you add two zeros to 1, giving you 100.
Step 3: Simplify the fraction if possible. To simplify a fraction, find the greatest common divisor (GCD) between the numerator and denominator, and divide both by this number. In this case, the GCD of 465 and 100 is 5. Dividing both numerator and denominator by 5 simplifies the fraction.
Putting it all together:
4.65 as a fraction is 465/100.
Now, let's simplify this fraction. Dividing 465 and 100 by the greatest common divisor (GCD) of 5, we get:
465 ÷ 5 = 93 (numerator)
100 ÷ 5 = 20 (denominator)
Therefore, the simplified fraction is 93/20.