Math Problem Statement
convert decimals into fraction 5.5
Solution
To convert the decimal 5.5 into a fraction:
-
Write it as a fraction:
5.5 can be written as . -
Eliminate the decimal by multiplying both the numerator and denominator by 10:
. -
Simplify the fraction (if possible):
The greatest common divisor (GCD) of 55 and 10 is 5. So, divide both the numerator and the denominator by 5:
.
Thus, the decimal 5.5 as a fraction is .
Would you like more details or have any further questions? Here are some related questions:
- How do you convert a repeating decimal into a fraction?
- What is the process for simplifying fractions?
- How can you convert fractions to decimals?
- What are the steps for converting mixed numbers to improper fractions?
- How can you convert decimals into percentages?
Tip: Always remember to multiply both the numerator and denominator by 10 for every decimal place you need to eliminate.
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Math Problem Analysis
Mathematical Concepts
Decimal to Fraction Conversion
Simplifying Fractions
Formulas
Decimal as a fraction: \( \frac{a.b}{1} \times \frac{10}{10} = \frac{ab}{10} \)
Simplifying fractions by dividing both the numerator and denominator by the GCD
Theorems
Greatest Common Divisor (GCD)
Suitable Grade Level
Grades 5-6