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106 LearnersLast updated on March 13th, 2025
5 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 of the whole. It has two parts: numerator (number on the top) here, which represents how many parts out of the whole, and the denominator (number below), which shows how many parts make up the whole. A mixed number like 5 7/16 combines a whole number and a fraction. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.
What is 5 7/16 as a decimal?
Answer
5 7/16 as a decimal can be written as 5.4375. It is a terminating decimal, meaning it ends after a finite number of digits.
Explanation
To convert 5 7/16 into a decimal, we will first convert the fractional part 7/16 to a decimal. Here's a step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator of the fractional part. Here, 7 is the numerator, and 16 is the denominator.
Step 2: Divide the numerator 7 by the denominator 16 to get the decimal equivalent of the fraction.
Step 3: 7 divided by 16 equals 0.4375.
Step 4: Combine the whole number 5 with the decimal 0.4375 to get
The final decimal: 5.4375.
Important Glossaries for 5 7/16 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Mixed Number: A number consisting of an integer and a proper fraction.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
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