5 1/4% as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to understand percentages and decimals. A percentage represents a part per hundred. A decimal is a way to represent numbers that are not whole, using a (.) or 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 5 1/4% as a decimal?

$5 1/4% as a decimal$

Answer

5 1/4% as a decimal can be written as 0.0525.

Explanation

To convert 5 1/4% into a decimal, we first convert the mixed number percentage into a fraction and then into a decimal.

Step 1: Convert the mixed number 5 1/4 to an improper fraction. 5 1/4 = 21/4

Step 2: Convert the percentage to a fraction by dividing by 100. 21/4% = 21/4 × 1/100 = 21/400

Step 3: Convert the fraction to a decimal. 21/400 = 0.0525

Therefore, 5 1/4% as a decimal is 0.0525.

Important Glossaries for 5 1/4% as a decimal

Percentage: A number or ratio expressed as a fraction of 100.
Decimal: A number that includes a decimal point to separate the whole part from the fractional part
Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.
Mixed Number: A whole number and a fraction combined into one "mixed" number.
Fraction: A numerical quantity that is not a whole number, representing a part of a whole.