3 7/12 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 the whole. It has two parts: numerator (number on the top), 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 3 7/12, combines a whole number and 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 3 7/12 as a decimal?

$3 7/12 as a decimal$

Answer

3 7/12 in decimals can be written as 3.5833... This is a terminating decimal.

Explanation

To convert 3 7/12 into a decimal, we first convert the fraction 7/12 into a decimal and then add it to the whole number 3. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number (3) and the fractional part (7/12).

Step 2: Convert the fraction 7/12 into a decimal using the division method. Divide 7 by 12.

Step 3: 7 divided by 12 gives approximately 0.5833... This is a repeating decimal, but for practical purposes, it can be rounded or truncated.

Step 4: Add the decimal 0.5833 to the whole number 3.

Step 5: The final result is 3.5833...

Important Glossaries for 3 7/12 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.
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.
Mixed Number: A number that combines a whole number and a fraction.