What is 3/4 x 4?
Understand the Problem
The question is asking for the product of the fraction 3/4 and the whole number 4. This involves performing a multiplication operation between a fraction and a whole number.
Answer
$3$
Answer for screen readers
The final answer is $3$.
Steps to Solve
-
Identify the numbers involved
We have the fraction $\frac{3}{4}$ and the whole number $4$. -
Convert the whole number to a fraction
To make multiplication easier, we can express the whole number $4$ as a fraction. This can be done as follows:
$$ 4 = \frac{4}{1} $$ -
Multiply the fractions
Now, we need to multiply the two fractions together:
$$ \frac{3}{4} \times \frac{4}{1} $$
To multiply fractions, we multiply the numerators together and multiply the denominators together:
$$ = \frac{3 \cdot 4}{4 \cdot 1} $$ -
Simplify the resulting fraction
Calculate the multiplication:
$$ = \frac{12}{4} $$
Now simplify by dividing both the numerator and denominator by $4$:
$$ = \frac{12 \div 4}{4 \div 4} = \frac{3}{1} $$ -
Conclude with the whole number result
The fraction $\frac{3}{1}$ simplifies to the whole number $3$. Thus, the product of $\frac{3}{4}$ and $4$ is $3$.
The final answer is $3$.
More Information
When you multiply a fraction by a whole number, it can be helpful to convert the whole number to a fraction. This makes the multiplication straightforward, and you can simplify the result easily.
Tips
- Forgetting to express the whole number as a fraction can lead to confusion.
- Not simplifying the fraction after multiplying can lead to incorrect results.
