1 5/6 as a Decimal

Answer

1 5/6 in decimals can be written as 1.8333… It is a recurring decimal, showing that it will repeat the same digit infinitely.

Explanation

To get 1 5/6 in decimal, we will use the division method for the fractional part. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction part. Here, the whole number is 1, and the fraction is 5/6.

Step 2: Convert the fractional part (5/6) into a decimal. The numerator (5) will be taken as the dividend, and the denominator (6) will be taken as the divisor.

Step 3: Since 5 is smaller than 6, 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 4: Divide 50 by 6. 6 goes into 50 eight times (6 × 8 = 48). Write 8 in the quotient place and subtract 48 from 50 to get 2.

Step 5: Bring down another 0 to make it 20. Divide 20 by 6. 6 goes into 20 three times (6 × 3 = 18). Write 3 in the quotient place and subtract 18 from 20 to get 2.

Step 6: This process continues, showing that the decimal is recurring.

The answer for 1 5/6 as a decimal will be 1.8333...

• 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.