3 5/6 as a Decimal

Answer

3 5/6 in decimals can be written as 3.8333... It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 3 5/6 into a decimal, we first convert the fractional part 5/6 into a decimal and then add it to 3.

Let's see the step-by-step breakdown of the process:

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: As 5 is smaller than 6, it can't be divided directly; here we will take the help of decimals. We will add 0 to the dividend, which will make 5 as 50, and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 6. Let's see how many times 6 fits into 50.

Step 4: 6 × 8 = 48, and subtracting 48 from 50 gives 2.

Step 5: Bring down another 0 to make 20, then divide 20 by 6.

Step 6: 6 × 3 = 18, and subtracting 18 from 20 gives 2.

Step 7: Repeat the division process; you will see that the remainder cycles, indicating a recurring decimal.

The fractional part 5/6 as a decimal is 0.8333..., and adding it to the whole number 3 gives us 3.8333...

• 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 a digit or a group of digits repeats infinitely.