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114 LearnersLast updated on March 3rd, 2025
10/7 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (number on the top) here, 10, 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 those to the right represent the fractional part.
What is 10/7 as a decimal?
Answer
10/7 in decimals can be written as approximately 1.428571. It is a recurring decimal, showing it will repeat the same block of digits infinitely.
Explanation
To get 10/7 in decimal, we will use the division method. Here, as 10 is larger than 7, we will divide directly using long division. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because numerator (10) will be taken as dividend and denominator (7) will be taken as divisor.
Step 2: Begin dividing 10 by 7. 7 goes into 10 once, giving a whole part of 1.
Step 3: Subtract 7 from 10 to get a remainder of 3.
Step 4: Bring down a 0 to make the remainder 30. Divide 30 by 7, which goes 4 times. Place 4 in the quotient.
Step 5: Subtract 28 from 30 to get a remainder of 2. Bring down another 0 to make it 20, and continue the division.
Step 6: Continue the process, which results in a repeating cycle of 285714 in the decimal.
The answer for 10/7 as a decimal will be 1.428571...
Important Glossaries for 10/7 as a decimal
- 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 in which a sequence of digits repeats infinitely.
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