7 1/3 as a Decimal

Answer:

7 1/3 in decimal form can be written as 7.3333... It is a recurring decimal, indicating that the digit 3 will repeat infinitely.

Explanation :

To convert 7 1/3 to a decimal, we need to convert the fraction part first. Here’s how we do it:

Step 1: Identify the whole number (7) and the fraction (1/3).

Step 2: Convert 1/3 to a decimal using division. Since 1 is smaller than 3, we add a decimal point and a zero to make it 10, then divide.

Step 3: Divide 10 by 3. The closest multiple is 3 x 3 = 9. Write 3 in the quotient and subtract 9 from 10, leaving a remainder of 1.

Step 4: Bring down another 0 to make it 10 again, and repeat the division process.

Step 5: This division results in a recurring decimal of 0.3333...

Step 6: Combine the whole number with the decimal fraction to get 7.3333...

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

• Fraction: A part of a whole, expressed with a numerator and a denominator.

• Decimal: A number that uses a decimal point to show a part of a whole.

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

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