10 2/3 as a Decimal

Answer

10 2/3 in decimal can be written as 10.66666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 10 2/3 to decimal, we will separate the whole number and the fractional part. The whole number is 10. For 2/3, we will use the division method. Let's see the step-by-step breakdown of the process:

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

Step 5: Bring down another 0 in the dividend place and make 2 as 20, 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 10 2/3 as a decimal will be 10.6666……

• 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.

• Recurring Decimal: A decimal that repeats the same number or sequence of numbers infinitely.

• Whole Number: A number without fractions; an integer.

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