Question

write each as a fraction.

1. 2.2
2. 0.08
3. 1.76

Explanation:

Step1: Convert 2.2 to fraction

The decimal 2.2 can be written as a mixed number. The whole number part is 2, and the decimal part 0.2 is $\frac{2}{10}$. Simplifying $\frac{2}{10}$ gives $\frac{1}{5}$. So $2.2 = 2\frac{1}{5}$ or as an improper fraction $\frac{22}{10}=\frac{11}{5}$. But the given answer is $2\frac{2}{10}$ which can be simplified to $2\frac{1}{5}$.

Step2: Convert 0.08 to fraction

The decimal 0.08 is 8 hundredths, so it is $\frac{8}{100}$. Simplifying this fraction by dividing numerator and denominator by 4 gives $\frac{2}{25}$. The given answer is $\frac{8}{100}$ which is correct but can be simplified.

Step3: Convert 1.76 to fraction

The decimal 1.76 has a whole number part 1 and a decimal part 0.76. 0.76 is $\frac{76}{100}$. Simplifying $\frac{76}{100}$ by dividing numerator and denominator by 4 gives $\frac{19}{25}$. So $1.76 = 1\frac{19}{25}$ or as an improper fraction $\frac{176}{100}=\frac{44}{25}$. The given answer is $1\frac{76}{100}$ which can be simplified to $1\frac{19}{25}$.

Answer:

For 2.2: Simplified fraction is $2\frac{1}{5}$ (or $\frac{11}{5}$); Given answer $2\frac{2}{10}$ simplifies to $2\frac{1}{5}$.
For 0.08: Simplified fraction is $\frac{2}{25}$; Given answer $\frac{8}{100}$ simplifies to $\frac{2}{25}$.
For 1.76: Simplified fraction is $1\frac{19}{25}$ (or $\frac{44}{25}$); Given answer $1\frac{76}{100}$ simplifies to $1\frac{19}{25}$.