3 19/32 as a Decimal

Professor Greenline Explaining Math Concepts

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Converting fractions to decimals is a fundamental concept in mathematics. A fraction represents a part of a whole and consists of two parts: the numerator (the top number) and the denominator (the bottom number). In the fraction 19/32, the numerator 19 indicates how many parts are being considered, while the denominator 32 indicates the total number of equal parts making up the whole. A decimal is a way to express numbers that are not whole, using a decimal point to separate the integer part from the fractional part. The numbers to the left of the decimal point represent the whole number, while those to the right represent the fractional part.

What is 3 19/32 as a decimal?

$3 19/32 as a decimal$

Answer

3 19/32 as a decimal is approximately 3.59375. This is a terminating decimal, meaning it does not repeat.

Explanation

To convert 3 19/32 to a decimal, we first convert the fractional part 19/32 to a decimal. We do this by dividing 19 by 32.

Step 1: Divide 19 by 32.

Step 2: 19 divided by 32 is approximately 0.59375.

Step 3: Add this result to the whole number part, which is 3.

Step 4: Thus, 3 19/32 as a decimal is 3 + 0.59375 = 3.59375.

As the division results in a finite number of digits, it is a terminating decimal.

Important Glossaries for 3 19/32 as a decimal

Fraction: A numerical expression representing a part of a whole, with a numerator and a denominator.
Decimal: A way of expressing fractions in a base-ten system, using a decimal point to separate the whole number 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 has a finite number of digits after the decimal point and does not repeat indefinitely.