14. Test Practice Which fraction is in simplest form? $$ \begin{array}{ll} ext { (4) } \frac{2}{10} & ext { (C) } \frac{4}{12} \ 530 & ext { (B) } \frac{3}{12}\end{array} $$ (Dhapter 8 Fractions

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14. Test Practice Which fraction is in simplest form? $$ \begin{array}{ll}	ext { (4) } \frac{2}{10} & 	ext { (C) } \frac{4}{12} \ 530 & 	ext { (B) } \frac{3}{12}\end{array} $$ (Dhapter 8 Fractions

UpStudy AI · Accepted Answer

1. Check each fraction to see if the numerator and denominator have any common factors other than 1.

2. For $$\frac{2}{10}$$:  
   - The common factor is 2, since $$ \gcd(2,10)=2 $$.  
   - Simplifying gives  
     $$
     \frac{2\div2}{10\div2} = \frac{1}{5}.
     $$
   - Thus, $$\frac{2}{10}$$ is not in simplest form.

3. For $$\frac{3}{12}$$:  
   - The common factor is 3, since $$ \gcd(3,12)=3 $$.  
   - Simplifying gives  
     $$
     \frac{3\div3}{12\div3} = \frac{1}{4}.
     $$
   - Thus, $$\frac{3}{12}$$ is not in simplest form.

4. For $$\frac{4}{12}$$:  
   - The common factor is 4, since $$ \gcd(4,12)=4 $$.  
   - Simplifying gives  
     $$
     \frac{4\div4}{12\div4} = \frac{1}{3}.
     $$
   - Thus, $$\frac{4}{12}$$ is not in simplest form.

5. Since none of the fractions remain unchanged when simplified, none of the given fractions is already in simplest form.
None of the fractions $$\frac{2}{10}$$, $$\frac{3}{12}$$, or $$\frac{4}{12}$$ are in simplest form.

Test Practice Which fraction is in simplest form?
(Dhapter 8 Fractions

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Test Practice Which fraction is in simplest form? (Dhapter 8 Fractions