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101 LearnersLast updated on March 29th, 2025
2 7/15 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 a whole. It has two parts: the numerator (number on the top) here, 7 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 15. A decimal is a way to represent a 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 2 7/15 as a decimal?
Answer
2 7/15 in decimals can be written as 2.46666….. It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To get 2 7/15 in decimal, we will first convert the mixed number to an improper fraction and then divide the numerator by the denominator.
Step 1: Convert the mixed number to an improper fraction. Multiply the whole number 2 by the denominator 15 and add the numerator 7, giving us 37/15.
Step 2: Perform the division 37 divided by 15.
Step 3: 37 divided by 15 gives 2.4 as a quotient.
Step 4: Continue the division to get more decimal places. After the initial division, 37 - (15 x 2) = 7.
Step 5: Bring down a 0 to make it 70, divide by 15 to get 4, and continue the process.
Step 6: The remainder is again 10, so bring down another 0, divide to get 6. The fraction part 7/15 becomes 0.4666...
The answer for 2 7/15 as a decimal will be 2.4666……
Important Glossaries for 2 7/15 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.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
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