Reviewed by Jo-ann Caballes
What is 2 1/4 as a decimal?
Answer: 2 1/4 as a decimal is 2.25
Converting mixed numbers to decimals is a common mathematical process that makes numbers easier to compare and use in calculations. The mixed number 2 1/4 consists of a whole number and a fractional part, and expressing it as a decimal allows for straightforward computations in arithmetic problems.
Methods
Math Tutor Explanation Using Decimal Conversion Method
This method involves converting the fractional part of the mixed number to a decimal and then adding it to the whole number.
Step 1: Step 1: Convert the fractional part 1/4 to a decimal by dividing 1 by 4
Step 2: Step 2: Add the decimal result of 0.25 to the whole number 2
Math Tutor Explanation Using Improper Fraction Method
This approach rewrites the mixed number as an improper fraction, then divides numerator by denominator to obtain a decimal.
Step 1: Step 1: Convert 2 1/4 to an improper fraction: 2 × 4 + 1 = 9, so it becomes 9/4
Step 2: Step 2: Divide 9 by 4 to get 2.25
Step 1:
Step 2:
Math Tutor suggests: More Mixed Number and Fraction to Decimal Conversions
Strengthen your skills in converting mixed numbers and fractions to decimals with these related problems.
FAQ on Mixed Numbers and Decimals
What is a mixed number?
A mixed number is a number consisting of a whole number and a proper fraction.
How do you convert a proper fraction to a decimal?
Divide the numerator by the denominator using either long division or a calculator.
Why convert mixed numbers to decimals?
Decimals are often easier to use in calculations and are sometimes needed for comparison or practical applications.
Can all fractions be expressed as decimals?
Yes, all fractions can be expressed as decimals, but some may result in repeating or non-terminating decimals.
What is the decimal for 1/4?
1/4 as a decimal is 0.25.
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