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103 LearnersLast updated on March 13th, 2025
-3 7/16 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top), here 7, represents how many parts out of the whole, and the denominator (number below), here it is 16, shows how many parts make the whole. 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 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 -3 7/16 as a decimal?
Answer
-3 7/16 in decimals can be written as -3.4375. It is a terminating decimal, meaning it ends after a certain number of decimal places.
Explanation
To convert -3 7/16 into a decimal, we will use the division method for the fractional part and then combine it with the whole number part. Let's see the step-by-step breakdown of the process:
Step 1: Identify the whole number and the fractional part. The whole number is 3, and the fraction is 7/16.
Step 2: Convert the fraction 7/16 into a decimal. Divide 7 by 16.
Step 3: 7 divided by 16 gives 0.4375.
Step 4: Combine the whole number and the decimal form of the fraction: -3 + 0.4375 = -3.4375.
The answer for -3 7/16 as a decimal is -3.4375.
Important Glossaries for -3 7/16 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.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
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