7/3 as a Decimal

Answer

7/3 in decimals can be written as 2.33333… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 7/3 into a decimal, we will use the division method. Since 7 is larger than 3, we can divide directly. Let's break down the process step by step.

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 2: Divide 7 by 3. 3 goes into 7 two times, which gives us 6. We write 2 in the quotient place.

Step 3: Subtract 6 from 7, which gives us 1.

Step 4: Bring down a 0 to make it 10, and continue the division. 3 goes into 10 three times, which gives 9. Write 3 in the quotient.

Step 5: Subtract 9 from 10, which gives 1. Bring down another 0 to make it 10 again and repeat the division process. The division process continues, and we don't get a remainder of 0. This process is called a recurring decimal.

The answer for 7/3 as a decimal will be 2.3333……

• 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.

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

• Recurring Decimal: A decimal in which one or more digits repeat infinitely. ```