What is 0.45 as a fraction

General
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what is 0.45 as a fraction

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What is 0.45 as a fraction?

Converting a decimal to a fraction involves finding an equivalent fraction where the numerator and denominator are integers. For the decimal 0.45, follow these steps:

Step 1: Express the Decimal as a Fraction

To convert 0.45 to a fraction, recognize that 0.45 means 45 hundredths, or:

0.45 = \frac{45}{100}

Step 2: Simplify the Fraction

Next, simplify the fraction by finding the Greatest Common Divisor (GCD) of the numerator and the denominator.

  • The numerator is 45.
  • The denominator is 100.

To find the GCD of 45 and 100, list the factors:

  • Factors of 45: 1, 3, 5, 9, 15, 45
  • Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

The common factors are 1 and 5, and the greatest common factor is 5.

Step 3: Divide the Numerator and Denominator by the GCD

Divide both the numerator and the denominator by the GCD (which is 5 in this case) to simplify the fraction:

\frac{45 \div 5}{100 \div 5} = \frac{9}{20}

Conclusion

Therefore, 0.45 as a fraction in its simplest form is:

\boxed{\frac{9}{20}}

Converting decimals to fractions can simplify many calculations and provide a clearer understanding of numerical relationships.