33 5/6 as a Decimal

Answer

33 5/6 as a decimal can be written as 33.8333… It is a recurring decimal, meaning it repeats the same digit infinitely.

Explanation

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...

• Fraction: A numerical quantity representing a part of a whole, with a numerator and a denominator.
   
• Decimal: A number that uses base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Recurring Decimal: A decimal that repeats the same digit or group of digits infinitely.