7 1/2 as a Decimal

Professor Greenline Explaining Math Concepts

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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) here, 7 1/2 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole. A decimal is a way to represent the number that is not whole, using a (.) or a decimal 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 7 1/2 as a decimal?

$7 1/2 as a decimal$ Answer

7 1/2 in decimals can be written as 7.5. It is a terminating decimal.

Explanation

To convert 7 1/2 to a decimal, we will first express the mixed number as a fraction and then divide.

Step 1: Convert 7 1/2 into an improper fraction. Multiply the whole number 7 by the denominator 2 and add the numerator 1, giving us (7 * 2) + 1 = 15, so the fraction is 15/2.

Step 2: Divide the numerator by the denominator. Divide 15 by 2. Step 3: 15 divided by 2 equals 7.5, with no remainder.

Thus, 7 1/2 as a decimal is 7.5.

Important Glossaries for 7 1/2 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.
Mixed Number: A whole number and a fraction combined into one "mixed" number.
Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.
Terminating Decimal: A decimal that ends and does not repeat infinitely.