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100 LearnersLast updated on March 27th, 2025
12 14/15 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 the whole. It has two parts, numerator (number on the top) here, 14 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 point 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 12 14/15 as a decimal?
Answer
12 14/15 in decimals can be written as 12.9333... It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To convert 12 14/15 to a decimal, we will use the division method for the fractional part. The whole number 12 remains the same. Let's see the step-by-step breakdown of the process.
Step 1: Identify the numerator and denominator because the numerator (14) will be taken as the dividend and the denominator (15) will be taken as the divisor.
Step 2: Since 14 is smaller than 15, it can't be divided evenly. We will use decimals to proceed. Add a decimal point in the quotient and a 0 to the dividend, making it 140.
Step 3: Now divide 140 by 15. Determine how many times 15 fits into 140, which is 9 times, as 15 × 9 = 135.
Step 4: Write 9 in the quotient place, and subtract 135 from 140, giving a remainder of 5.
Step 5: Bring down another 0 to the dividend, making it 50, and repeat the division process. 15 fits into 50 three times, as 15 × 3 = 45.
Step 6: Subtract 45 from 50 to get a remainder of 5. The process continues with the same pattern, indicating a recurring decimal.
Therefore, 12 14/15 as a decimal is 12.9333...
Important Glossaries for 12 14/15 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 one or more digits repeat infinitely.
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