Reviewed by Franz Jerby Delos Santos
What is 2 3/4 as a decimal?
Answer: 2 3/4 as a decimal is 2.75
A mixed number like 2 3/4 can be converted to a decimal by first converting the fractional part to a decimal and then adding it to the whole number. Understanding this process is useful for comparing numbers and performing calculations that require decimal notation.
Methods
Math Tutor Explanation Using the Fraction to Decimal Method
Convert the fractional part (3/4) to a decimal and add it to the whole number.
Step 1: Step 1: Divide the numerator (3) by the denominator (4)
Step 2: Step 2: 3 divided by 4 equals 0.75
Math Tutor Explanation Using Improper Fraction Method
Convert the mixed number to an improper fraction and then to a decimal.
Step 1: Step 1: Convert 2 3/4 to an improper fraction: (2 × 4 + 3) / 4 = 11/4
Step 2: Step 2: Divide 11 by 4 to get 2.75
Step 1:
Step 2:
Math Tutor suggests: More Mixed Numbers and Decimal Conversions
If you're learning how to convert mixed numbers and fractions to decimals, check out these similar exercises for more practice.
FAQ on Mixed Numbers and Decimals
How do you convert a mixed number to a decimal?
First, convert the fractional part to a decimal, then add it to the whole number.
Can all fractions be easily converted to decimals?
Fractions with denominators of 10, 100, 4, 5, and 2 often convert easily, but some fractions result in repeating decimals.
Why do we convert mixed numbers to decimals?
Decimals are often easier to work with in calculations and comparisons.
Is 2.75 the same as 2 3/4?
Yes, 2.75 and 2 3/4 represent the same value.
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