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Last updated on March 3rd, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the 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 point to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
5 5/6 in decimals can be written as 5.8333… It is a recurring decimal, indicating it will repeat the same digit infinitely.
To convert 5 5/6 into a decimal, we will use the division method. Here, we separate the whole number 5 and the fraction 5/6. We need to convert the fraction into a decimal. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator of the fraction 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, so we use decimals. We add 0 to the dividend, making it 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: 50 is not a multiple of 6, so we look for the nearest number that is 6 × 8 = 48. We write 8 in the quotient place, and subtracting 48 from 50 gives 2.
Step 5: Bring down another 0 in the dividend place, making it 20, and repeat the process. The division process continues without the remainder becoming 0, indicating a recurring decimal.
The answer for 5 5/6 as a decimal will be 5.8333…