2 3/4% as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn percents and decimals. A percent represents a part out of 100. "2 3/4%" can be interpreted as 2.75% when converted to a decimal number. A decimal is a way to represent the number that is 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 that to the right represents the fractional part.

What is 2 3/4% as a decimal?

$2 3/4% as a decimal$

Answer

2 3/4% as a decimal can be written as 0.0275.

Explanation

To convert 2 3/4% to a decimal, we first convert the mixed number to an improper fraction. 2 3/4 can be written as 11/4.

Step 1: Convert 2 3/4 to an improper fraction: (2 * 4 + 3) / 4 = 11/4.

Step 2: Convert the fraction to a decimal by dividing: 11 ÷ 4 = 2.75.

Step 3: Since it is a percentage, divide by 100 to get the decimal: 2.75 ÷ 100 = 0.0275.

Important Glossaries for 2 3/4% as a decimal

Percent: A part out of 100, often used to describe proportions.
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.
Fraction: A numerical quantity that is not a whole number, representing a part of a whole. ```