1 1/6 as a Decimal

Answer

1 1/6 as a decimal can be written as 1.16666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 1 1/6 in decimal form, we will convert the fractional part 1/6 into decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the fractional part 1/6. The numerator (1) will be taken as the dividend, and the denominator (6) will be taken as the divisor.

Step 2: As 1 is smaller than 6, it can't be divided, so we will use decimals. We add a decimal point in the quotient and append a 0 to the dividend, making it 10.

Step 3: Now, divide 10 by 6. 6 goes into 10 once, so we write 1 in the quotient and subtract 6 from 10, leaving 4.

Step 4: Bring down another 0, making it 40. Divide 40 by 6, which goes 6 times (6 × 6 = 36), leaving 4.

Step 5: Repeat the process of bringing down a 0 and dividing. The remainder remains 4, causing the decimal to recur.

So, 1 1/6 as a decimal is 1.1666...

• Mixed Fraction: A fraction containing both a whole number and a fractional part.

• Recurring Decimal: A decimal in which a digit or group of digits repeats infinitely.

• Dividend: The number being divided in a division operation.

• Divisor: The number by which the dividend is divided.

• Quotient: The result of dividing one number by another.