Question
Write 0.22 as a fraction, reduced to lowest terms.
Ask by Moreno Pierce. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
0.22 as a fraction in its lowest terms is \(\frac{11}{50}\).
Solution
To convert the decimal **0.22** to a fraction and reduce it to its lowest terms, follow these steps:
1. **Write the Decimal as a Fraction:**
\[
0.22 = \frac{22}{100}
\]
2. **Simplify the Fraction:**
- Find the greatest common divisor (GCD) of 22 and 100.
- The GCD of 22 and 100 is **2**.
\[
\frac{22 \div 2}{100 \div 2} = \frac{11}{50}
\]
So, **0.22** expressed as a fraction in its lowest terms is:
\[
\frac{11}{50}
\]
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Simplify this solution Bonus Knowledge
To convert 0.22 into a fraction, start by recognizing that 0.22 means 22 hundredths, which can be written as \( \frac{22}{100} \). Next, reduce this fraction to its lowest terms. Both the numerator and the denominator can be divided by their greatest common divisor, which is 2. This gives you: \[ \frac{22 \div 2}{100 \div 2} = \frac{11}{50} \] So, 0.22 as a fraction in lowest terms is \( \frac{11}{50} \). To check your answer, you can convert \( \frac{11}{50} \) back to a decimal by dividing 11 by 50, which indeed returns 0.22. This verification ensures that you’ve accurately converted and reduced the fraction.
