3 7/16 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top) and the denominator (number below). The numerator here is 55 (since 3 7/16 is 3 + 7/16, which is 48/16 + 7/16 = 55/16), representing how many parts out of the whole. The denominator is 16, showing how many parts make the whole. 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, and those to the right represent the fractional part.

What is 3 7/16 as a decimal?

$3 7/16 as a decimal$

Answer

3 7/16 in decimal form can be written as 3.4375. It is a terminating decimal.

Explanation

To convert 3 7/16 to a decimal, we need to convert the fractional part 7/16 into a decimal and then add it to the whole number 3.

Step 1: Recognize the mixed number 3 7/16, where 3 is the whole part and 7/16 is the fractional part.

Step 2: Convert 7/16 to a decimal by dividing 7 by 16.

Step 3: 7 divided by 16 is 0.4375.

Step 4: Add the decimal result to the whole number: 3 + 0.4375 = 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.