Question

ate the sum of the fractions belo two numbers if you need a model
\\(\frac{9}{12} + \frac{3}{10} = 12\\)

Explanation:

Step1: Simplify the first fraction

Simplify $\frac{9}{12}$ by dividing numerator and denominator by their greatest common divisor, which is 3. So $\frac{9\div3}{12\div3}=\frac{3}{4}$.

Step2: Find a common denominator

The denominators are 4 and 10. The least common multiple of 4 and 10 is 20. Convert $\frac{3}{4}$ to a fraction with denominator 20: $\frac{3\times5}{4\times5}=\frac{15}{20}$. Convert $\frac{3}{10}$ to a fraction with denominator 20: $\frac{3\times2}{10\times2}=\frac{6}{20}$.

Step3: Add the fractions

Add the two fractions with the common denominator: $\frac{15}{20}+\frac{6}{20}=\frac{15 + 6}{20}=\frac{21}{20}$. Convert this improper fraction to a mixed number: $\frac{21}{20}=1\frac{1}{20}$.

Answer:

$1\frac{1}{20}$ (or $\frac{21}{20}$)