What is the missing number in these equivalent fractions? 2/? = 6/15

Understand the Problem

The question is asking to find the missing numerator that makes the two fractions equivalent, specifically for the fractions 2/? and 6/15.

Answer

The missing numerator is $5$.

Steps to Solve

Set up the equation for equivalent fractions

To find the missing numerator, we can use the property that equivalent fractions can be expressed with the cross-multiplication method. This gives us the equation:

$$ 2 \times 15 = 6 \times ? $$

Calculate the left side of the equation

Now, calculate the left side:

$$ 2 \times 15 = 30 $$

So, our equation simplifies to:

$$ 30 = 6 \times ? $$

Solve for the missing numerator

To find the value of the missing numerator, divide both sides by 6:

$$ ? = \frac{30}{6} $$

Calculate the final answer

Now perform the division:

$$ ? = 5 $$

The missing numerator is $5$.

More Information

This result means that the fractions $2/5$ and $6/15$ are equivalent because they simplify to the same value. This emphasizes how different fractions can represent the same value when simplified.

Tips

A common mistake is to incorrectly calculate the product on the left side during cross-multiplication. Always double-check your arithmetic to avoid this.
Another mistake is not simplifying fractions correctly or forgetting that both sides must be equivalent.

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