To convert 33 and 1/3 into a fraction, we first recognize that the whole number 33 can be expressed as a fraction. Specifically, 33 can be written as 33/1. Next, we combine this with the fractional part:
33 and 1/3 can be expressed as:
33 + 1/3
To combine these two parts, we need a common denominator. We can convert 33 to a fraction with a denominator of 3:
33 = 33 * 3/3 = 99/3.
Now we can add the two fractions together:
99/3 + 1/3 = (99 + 1)/3 = 100/3.
So, as a fraction, 33 and 1/3 is 100/3.
Now let’s convert it to a decimal. To do this, we divide the numerator by the denominator:
100 ÷ 3 = 33.3333…
This can also be rounded to two decimal places as 33.33.
Therefore, 33 and 1/3 can be represented as 100/3 in fraction form and 33.33 in decimal form.