Is 3/5 equivalent to 6/10?
Understand the Problem
The question is asking whether the fraction 3/5 is equal to the fraction 6/10. This involves comparing the two fractions to determine if they represent the same value.
Answer
Yes, $\frac{3}{5} = \frac{6}{10}$.
Answer for screen readers
Yes, the fraction $\frac{3}{5}$ is equal to the fraction $\frac{6}{10}$.
Steps to Solve
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Simplify the fractions for comparison
To check if the fractions $\frac{3}{5}$ and $\frac{6}{10}$ are equal, we can simplify $\frac{6}{10}$. We do this by finding the greatest common divisor of 6 and 10, which is 2.
So,
$$ \frac{6}{10} = \frac{6 \div 2}{10 \div 2} = \frac{3}{5} $$ -
Compare the simplified fractions
Now that we have $\frac{6}{10}$ simplified to $\frac{3}{5}$, we can compare both fractions.
We find that $\frac{3}{5}$ is indeed equal to $\frac{3}{5}$. -
Conclusion about the equality
Since both fractions represent the same value, we conclude that:
$$ \frac{3}{5} = \frac{6}{10} $$
Yes, the fraction $\frac{3}{5}$ is equal to the fraction $\frac{6}{10}$.
More Information
Both fractions simplify to the same value of $\frac{3}{5}$. This illustrates an important concept in fractions: two fractions are equal if their cross products are equal (in this case, $3 \times 10 = 30$ and $5 \times 6 = 30$).
Tips
- Misidentifying equivalent fractions: A common mistake is assuming that since the numerators and denominators are different, the fractions must also be different. Remember that fractions can be equivalent even if they appear different at first glance.
