-73 2/3 as a Decimal

Answer

-73 2/3 in decimals can be written as -73.66666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get -73 2/3 in decimal, we will convert the fractional part to a decimal using the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend, and the denominator (3) will be taken as the divisor.

Step 2: As 2 is smaller than 3, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 2 as 20 and add a decimal point in the quotient place.

Step 3: Now that it is 20, we can divide it by 3. Let's see how many times 3 makes 20.

Step 4: 20 is not a multiple of 3, so we will look for the nearest number that is 3 × 6 = 18. We will write 6 in the quotient place and subtract 18 from 20 gives 2.

Step 5: Bring down another 0 in the dividend place to make 2 as 20 and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for -73 2/3 as a decimal will be -73.6666……

• Mixed Number: A number consisting of an integer and a proper fraction.

• Recurring Decimal: A decimal number that has digits that repeat forever in a pattern.

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

• Divisor: The number by which another number is to be divided.

• Whole Number: An integer without fractions; an entire or complete number.