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109 LearnersLast updated on March 11th, 2025
7 1/3 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A mixed number like 7 1/3 combines a whole number with a fraction. The whole number here is 7, and the fraction is 1/3. A fraction represents a part of a whole, with the top part being the numerator (1) and the bottom part being the denominator (3). A decimal is a method to express numbers that aren't whole, using a decimal point to separate the whole number part from the fractional part.
What is 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...
Important Glossaries for 7 1/3 as a decimal
- 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.
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