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103 LearnersLast updated on March 15th, 2025
1 2/7 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 9 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 7. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.
What is 1 2/7 as a decimal?
Answer
1 2/7 in decimals can be written as 1.285714... It is a recurring decimal, showing that the fractional part will repeat infinitely.
Explanation
To convert 1 2/7 to a decimal, we first convert the mixed number to an improper fraction. So, 1 2/7 becomes 9/7. Now, we use the division method to convert 9/7 to a decimal. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator. The numerator (9) will be taken as the dividend and the denominator (7) as the divisor.
Step 2: Perform the division. Divide 9 by 7.
Step 3: 9 divided by 7 is 1 with a remainder of 2.
Step 4: Bring down a 0 to make it 20. Divide 20 by 7.
Step 5: 20 divided by 7 is 2 with a remainder of 6.
Step 6: Continue the division process by bringing down another 0 to make it 60 and divide by 7.
Step 7: Repeat the division process. Since the remainder never becomes zero, this is a recurring decimal.
The decimal form of 1 2/7 is 1.285714..., where 285714 repeats infinitely.
Important Glossaries for 1 2/7 as a decimal
- Mixed Number: A number consisting of an integer and a proper fraction.
- Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.
- 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 in which one or more digits repeat infinitely.
- Division: A mathematical operation where one number is divided by another.
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