35 5/6 as a Decimal

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It is a straightforward question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), in this case, 5, which indicates how many parts out of the whole, and the denominator (the number below), here 6, which shows how many parts make up the whole. 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.

What is 35 5/6 as a decimal?

$35 5/6 as a decimal$

Answer

35 5/6 as a decimal can be written as 35.8333... It is a recurring decimal, indicating that the digit 3 repeats indefinitely.

Explanation

To convert 35 5/6 to a decimal, we will use the division method for the fractional part. The whole number 35 remains unchanged. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number, numerator, and denominator. The whole number is 35, the numerator is 5, and the denominator is 6.

Step 2: Divide the numerator by the denominator. As 5 is smaller than 6, we will add a decimal point to the quotient and a zero to make it 50.

Step 3: Divide 50 by 6. The nearest number when 6 is multiplied by 8 gives 48. Write 8 in the quotient and subtract 48 from 50 to get 2.

Step 4: Bring down another 0, making it 20. Divide 20 by 6. The nearest number is 18 (6x3), so write 3 in the quotient and subtract 18 from 20 to get 2.

Step 5: Repeat the process of bringing down 0's and dividing. The remainder will keep repeating 2, resulting in the decimal 0.8333...

Therefore, 35 5/6 as a decimal is 35.8333...

Important Glossaries for 35 5/6 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the 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 in which one or more digits repeat infinitely.