What is the numerator of equal factor of 3/4 if the denominator is 28?

Understand the Problem

The question is asking us to find the numerator of a fraction that is equivalent to 3/4 when the denominator is 28. To solve this, we can use the property of equivalent fractions which states that if two fractions are equal, the cross products are equal. We will set up the equation 3/4 = x/28 and solve for x (the numerator).

Answer

The numerator is $21$.

Steps to Solve

Set up the equation

We start with the equation based on the property of equivalent fractions:

$$ \frac{3}{4} = \frac{x}{28} $$

Cross-multiply the fractions

To eliminate the fractions, we cross-multiply:

$$ 3 \cdot 28 = 4 \cdot x $$

Calculate the left side

Now, calculate the left side:

$$ 3 \cdot 28 = 84 $$

Thus, the equation becomes:

$$ 84 = 4 \cdot x $$

Solve for x

To find $x$, divide both sides by 4:

$$ x = \frac{84}{4} $$

Calculate the final result

Now, perform the division:

$$ x = 21 $$

The numerator is $21$.

More Information

The fraction equivalent to $\frac{3}{4}$ with a denominator of $28$ is $\frac{21}{28}$. This shows how equivalent fractions work, and you can apply this method to find other equivalents.

Tips

A common mistake is forgetting to cross-multiply correctly. Make sure to multiply each numerator by the opposite denominator.
Another mistake is performing the division incorrectly. Double-check your calculations when dividing to ensure accuracy.

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