What is 4.65 converted to a fraction
To convert 4.65 to a fraction, we need to express the decimal part as a fraction.
Since 4 is a whole number, we can write it as 4.00, which is equal to 4.
To convert the decimal part 0.65 to a fraction, we can multiply both the numerator and denominator by 100, so that the decimal point is moved to the right two places:
0.65 * 100 = 65
So, 0.65 is equal to 65/100.
Putting it all together, we have:
4.65 = 4 + 65/100
To simplify this fraction further, we can divide both the numerator and denominator by their greatest common divisor, which is 5:
65/100 = (65 ÷ 5)/(100 ÷ 5) = 13/20
Therefore, 4.65 as a fraction is 4 + 13/20.
To convert a decimal to a fraction, follow these steps:
Step 1: Write down the decimal as a fraction with the decimal number as the numerator and "1" as the denominator.
In this case, the decimal is 4.65, so the fraction would be 4.65/1.
Step 2: Remove the decimal by multiplying both the numerator and denominator by 10, 100, 1000, or any power of 10 that gets rid of the decimal places.
Since 4.65 has two decimal places, we multiply both the numerator and denominator by 100 to remove the decimal: (4.65 × 100)/(1 × 100) = 465/100.
Step 3: Simplify the fraction, if possible, by finding the greatest common divisor (GCD) and dividing both the numerator and denominator by it.
In this case, the GCD of 465 and 100 is 5. By dividing both the numerator and denominator by 5, we get the simplified fraction: (465 ÷ 5) / (100 ÷ 5) = 93/20.
Therefore, the decimal 4.65 can be converted to the fraction 93/20.
To convert a decimal number to a fraction, follow these steps:
Step 1: Write down the decimal number as a fraction, with the decimal number as the numerator and the denominator as a power of 10 according to the number of decimal places.
In this case, the decimal number is 4.65. Since there are two decimal places, we write it as 4.65/100.
Step 2: Simplify the fraction if possible.
In this case, 4.65/100 can be simplified by dividing both the numerator and denominator by 5: 4.65/100 = 0.93/20.
So, 4.65 is equivalent to the fraction 0.93/20.