5/3 as a Decimal

Answer

5/3 in decimals can be written as 1.66666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 5/3 in decimal, 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 the numerator (5) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 2: As 5 is larger than 3, it can be divided. Divide 5 by 3, which gives 1 with a remainder. Add a decimal point in the quotient place and a zero to the dividend to continue the division.

Step 3: Now divide 20 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 and 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 5/3 as a decimal will be 1.6666……

• 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.

• 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 that repeats a sequence of digits indefinitely.