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101 LearnersLast updated on March 13th, 2025
-5 7/12 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: 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 12. 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 -5 7/12 as a decimal?
Answer
-5 7/12 in decimals can be written as -5.5833... It is a recurring decimal, showing it will repeat the same sequence infinitely.
Explanation
To get -5 7/12 in decimal, we will use the division method for the fractional part. Here, we consider 7 as the numerator and 12 as the denominator. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (12) will be taken as the divisor.
Step 2: Divide 7 by 12 using long division. As 7 is smaller than 12, it can't be divided directly, so we introduce a decimal point and add zeros to the dividend.
Step 3: 7 divided by 12 gives 0.5833..., a recurring decimal.
Step 4: Combine this result with the whole number part, -5, to get -5.5833...
Important Glossaries for -5 7/12 as a decimal
- Mixed Number: A number consisting of an integer and a proper fraction.
- 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.
- Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
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