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104 LearnersLast updated on March 16th, 2025
10 7/12 as a Decimal
This is a simple question on decimal conversion. Firstly, we have to understand mixed numbers and decimals. A mixed number combines a whole number and a fraction. In 10 7/12, the whole number is 10, and the fraction 7/12 represents a part of a whole. 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 fractional 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 7/12 as a decimal?
Answer
10 7/12 in decimals can be written as 10.5833... It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To get 10 7/12 in decimal, we will convert the fractional part to a decimal using division.
Step 1: Identify the whole number (10) and the fraction (7/12).
Step 2: Divide the numerator (7) by the denominator (12) to convert the fraction to a decimal.
Step 3: 7 divided by 12 gives approximately 0.5833, which is a recurring decimal.
Step 4: Combine the whole number and the decimal part to get 10.5833... The process shows that the fractional part results in a recurring decimal.
The answer for 10 7/12 as a decimal will be 10.5833...
Important Glossaries for 10 7/12 as a decimal
- Mixed Number: A number consisting of an integer and a fraction.
- 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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