What is 4.65 converted to a fraction the answer should be given in simplest form.
4.65 as a fraction in simplest form is 93/20.
To convert the decimal number 4.65 to a fraction in simplest form, follow these steps:
Step 1: Determine the place value of the decimal number. In this case, the decimal number has two decimal places, so the denominator of the fraction will be 100 (10 raised to the power of 2).
Step 2: Write the decimal number as the numerator of the fraction. In this case, the numerator is 4.65.
Step 3: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 465 and 100 is 5.
Step 4: Divide both the numerator and the denominator by 5. This gives us a fraction of 465/100.
Step 5: Simplify the fraction if possible. In this case, both 465 and 100 can be divided by 5, resulting in a simplified fraction of 93/20.
Therefore, the decimal number 4.65 can be expressed as the fraction 93/20 in simplest form.
To convert a decimal number to a fraction, you can follow these steps:
Step 1: Write down the decimal number as the numerator of the fraction.
In this case, the decimal number is 4.65.
Step 2: Determine the denominator of the fraction by counting the number of decimal places.
Since 4.65 has two decimal places, the denominator will be a power of 10 with the same number of zeros. In this case, the denominator will be 100.
Step 3: Simplify the fraction, if possible.
To simplify the fraction, you need to find the greatest common divisor (GCD) between the numerator and the denominator. In this case, the numerator is 465 and the denominator is 100.
Step 4: Divide the numerator and the denominator by their GCD to get the simplest form.
Dividing both 465 and 100 by their GCD, which is 5, we get 93/20.
Therefore, 4.65 is equal to 93/20 in its simplest form.