Is 3/5 equal to 6/10?
Understand the Problem
The question is asking whether the fraction 3/5 is equivalent to the fraction 6/10. To solve this, we can cross-multiply to check if the two fractions yield the same product.
Answer
Yes, $\frac{3}{5} = \frac{6}{10}$.
Answer for screen readers
Yes, the fraction $\frac{3}{5}$ is equivalent to the fraction $\frac{6}{10}$.
Steps to Solve
- Cross-Multiply the Fractions
To determine if the fractions $\frac{3}{5}$ and $\frac{6}{10}$ are equivalent, we will cross-multiply.
This means we will take the numerator of the first fraction and multiply it by the denominator of the second fraction, and then take the denominator of the first fraction and multiply it by the numerator of the second fraction.
So we calculate: $$ 3 \times 10 $$ and $$ 5 \times 6 $$
- Calculate Both Products
Now, let's calculate both products.
- For the first product: $$ 3 \times 10 = 30 $$
- For the second product: $$ 5 \times 6 = 30 $$
- Compare the Products
Now we compare the results of both multiplications: $$ 30 = 30 $$
Since both products are equal, the fractions are equivalent.
Yes, the fraction $\frac{3}{5}$ is equivalent to the fraction $\frac{6}{10}$.
More Information
Both fractions can be simplified or represented in different ways. This means they hold the same value despite different forms. In general, multiplying both the numerator and denominator of a fraction by the same number keeps the value unchanged.
Tips
- Forgetting to cross-multiply: Always remember to multiply diagonally to check for equivalence, as this is a common step in checking if two fractions are equal.
- Not simplifying fractions before comparing: Simplifying can help to visualize equivalence better.
