5 5/6 as a Decimal

Answer

5 5/6 in decimals can be written as 5.8333… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

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…

• 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.