Math Problem Statement

2.25 in fraction

Solution

The decimal number 2.25 can be converted into a fraction as follows:

2.25=942.25 = \frac{9}{4}

Here's how it's done:

  1. Write the decimal as a fraction:
    2.25=2251002.25 = \frac{225}{100}

  2. Simplify the fraction:
    Find the greatest common divisor (GCD) of 225 and 100, which is 25, and divide both the numerator and the denominator by it. 225÷25100÷25=94\frac{225 \div 25}{100 \div 25} = \frac{9}{4}

So, 2.25 is equivalent to 94\frac{9}{4} as a fraction.

Would you like more details or have any questions?

Here are some related questions:

  1. How do you convert a repeating decimal to a fraction?
  2. What is the fraction equivalent of 2.5?
  3. How can you convert 1.75 into a fraction?
  4. What is the decimal form of 74\frac{7}{4}?
  5. How do you simplify a fraction?

Tip: When converting decimals to fractions, remember that moving the decimal point corresponds to multiplying by powers of 10.

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Math Problem Analysis

Mathematical Concepts

Decimal to Fraction Conversion
Greatest Common Divisor (GCD)

Formulas

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Theorems

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Suitable Grade Level

Grades 5-7