What is 2.5 as a Fraction?

Answer: 2.5 as a fraction is 5/2

Converting a decimal number like 2.5 into a fraction involves expressing the decimal as a ratio of two integers. This conversion is useful in mathematics for calculations that require fractions, or to better understand the relationship between parts and wholes.

Methods

Math Tutor Explanation Using the Place Value Method

By identifying the place value of the decimal digits, you can write the number as a fraction and then simplify if necessary.

Step 1: Step 1: Write 2.5 as 25/10 because the digit 5 is in the tenths place

Step 2: Step 2: Simplify 25/10 by dividing both the numerator and denominator by 5 to get 5/2

Math Tutor Explanation Using Mixed Number to Improper Fraction Method

First, express 2.5 as a mixed number and then convert it to an improper fraction.

Step 1: Step 1: Recognize that 2.5 = 2 + 0.5

Step 2: Step 2: Write 0.5 as 1/2 and combine with the whole number to get 2 1/2

Step 1:

Step 2:

Math Tutor suggests: More Ways to Convert Between Decimals and Fractions

Continue practicing converting decimals into fractions with these similar exercises. Strengthen your understanding by working with other decimal-to-fraction conversions.

FAQ on Converting Decimals to Fractions

What is the simplest form of 2.5 as a fraction?

The simplest form is 5/2

Can all decimals be written as fractions?

Only terminating or repeating decimals can be converted to exact fractions

How do you check your answer?

Divide the numerator by the denominator to see if you get the original decimal

Why is 2.5 not written as 2 1/2 in the answer?

While 2 1/2 is a mixed number, 5/2 is the improper fraction often preferred in calculations

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