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110 LearnersLast updated on March 11th, 2025
1 5/12 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), which represents how many parts out of the whole, and denominator (number below), which shows how many parts make the whole. In a mixed number, a whole number is combined with a fraction. 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 1 5/12 as a decimal?
Answer
1 5/12 in decimals can be written as 1.41666... It is a recurring decimal, showing that part of it repeats the same digit infinitely.
Explanation
To convert 1 5/12 to a decimal, we will first convert the fraction 5/12 to a decimal and then add it to the whole number 1. Let's see the step-by-step breakdown of the process:
Step 1: Identify the whole number (1) and the fraction (5/12).
Step 2: Convert the fraction 5/12 to a decimal by dividing 5 by 12 using long division.
Step 3: Perform the division: - 5 divided by 12 gives 0.41666... (repeating 6).
Step 4: Add the decimal result to the whole number: - 1 + 0.41666... = 1.41666...
The answer for 1 5/12 as a decimal is 1.41666...
Important Glossaries for 1 5/12 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.
- Mixed Number: A number consisting of an integer and a proper fraction.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Recurring Decimal: A decimal in which a digit or group of digits is repeated indefinitely.
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