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Last updated on March 17th, 2025
This is a basic question on decimal conversion. First, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top) and the denominator (the number below). The numerator indicates how many parts we have, in this case, 5. The denominator tells us how many parts make up a whole, in this case, 6. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
33 5/6 as a decimal can be written as 33.8333… It is a recurring decimal, meaning it repeats the same digit infinitely.
To convert 33 5/6 into a decimal, we'll first convert the fractional part 5/6 into a decimal using division. Then, we will add this decimal to the whole number 33.
Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend, and the denominator (6) will be taken as the divisor.
Step 2: Since 5 is smaller than 6, it can't be divided directly. We will use decimals by adding a decimal point and a zero to the dividend, making it 50.
Step 3: Divide 50 by 6. Six goes into 50 eight times (6 × 8 = 48). Write 8 in the quotient place.
Step 4: Subtract 48 from 50, leaving a remainder of 2. Bring down another 0, making it 20.
Step 5: Divide 20 by 6. Six goes into 20 three times (6 × 3 = 18). Write 3 in the quotient.
Step 6: Subtract 18 from 20, leaving a remainder of 2. This repeated division process shows a repeating decimal.
The decimal for 5/6 is 0.8333..., so adding this to the whole number 33 gives 33.8333...