What is 3/4 of 48?
Understand the Problem
The question is asking us to calculate three-quarters of the number 48. This involves multiplying 48 by the fraction 3/4.
Answer
$36$
Answer for screen readers
The final answer is $36$.
Steps to Solve
- Identify the fraction to multiply
We need to find three-quarters of 48, which is mathematically represented as $ \frac{3}{4} \times 48 $.
- Convert the whole number to a fraction
To perform the multiplication, we can rewrite 48 as a fraction: $$ 48 = \frac{48}{1} $$
- Multiply the fractions
Now we can multiply the two fractions: $$ \frac{3}{4} \times \frac{48}{1} = \frac{3 \times 48}{4 \times 1} $$
- Calculate the numerator and denominator
Now calculate the numerator and denominator: $$ 3 \times 48 = 144 $$ $$ 4 \times 1 = 4 $$
So we have: $$ \frac{144}{4} $$
- Simplify the fraction
Now simplify the fraction: $$ \frac{144}{4} = 36 $$
The final answer is $36$.
More Information
This calculation shows how to multiply a whole number by a fraction. Three-quarters of 48 is significant in many real-life situations, such as cooking or dividing resources.
Tips
- A common mistake is forgetting to simplify the fraction after multiplying, which could lead to an incorrect final answer.
- Another mistake can occur if the multiplication of the numbers is done incorrectly.