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Last updated on March 4th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 5 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 6. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.
3 5/6 in decimals can be written as 3.8333... It is a recurring decimal, showing it will repeat the same digit infinitely.
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...