$$ \frac{21}{6} $$ or $$ 3 \frac{1}{3} ? $$

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UpStudy AI · Accepted Answer

We begin by simplifying the fraction:

1. Write the fraction:
   $$
   \frac{21}{6}
   $$

2. Find the greatest common divisor (GCD) of 21 and 6. The GCD of 21 and 6 is 3.

3. Divide both the numerator and the denominator by 3:
   $$
   \frac{21 \div 3}{6 \div 3} = \frac{7}{2}
   $$

4. Convert the simplified fraction $$\frac{7}{2}$$ to a mixed number:
   $$
   \frac{7}{2} = 3\frac{1}{2}
   $$
   because $$7 \div 2 = 3$$ with a remainder of $$1$$.

Thus, the correct simplified form of $$\frac{21}{6}$$ is $$3 \frac{1}{2}$$, not $$3 \frac{1}{3}$$.
The simplified form of $$ \frac{21}{6} $$ is $$ 3 \frac{1}{2} $$.

\( \frac{21}{6} \) or \( 3 \frac{1}{3} ? \)

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