What is 3/4 of 28?
Understand the Problem
The question is asking for the calculation of three-fourths of twenty-eight. To solve this, we will multiply 28 by the fraction 3/4.
Answer
$21$
Answer for screen readers
The final answer is $21$.
Steps to Solve
- Identify the numbers and fraction involved
We need to calculate three-fourths of 28. This means we will take the fraction $\frac{3}{4}$ and multiply it by 28.
- Convert the whole number to a fraction
To make the calculation easier, we can express 28 as a fraction. We can do this as follows:
$$ 28 = \frac{28}{1} $$
- Set up the multiplication of the fractions
Now we will multiply the two fractions together:
$$ \frac{3}{4} \times \frac{28}{1} $$
- Multiply the numerators and denominators
To multiply fractions, we multiply the numerators together and the denominators together:
$$ \frac{3 \times 28}{4 \times 1} $$
- Calculate the values
Calculate the multiplication in the numerator:
$$ 3 \times 28 = 84 $$
So, we now have:
$$ \frac{84}{4} $$
- Simplify the fraction
Now we need to simplify $\frac{84}{4}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
$$ \frac{84 \div 4}{4 \div 4} = \frac{21}{1} $$
Thus, we end up with 21.
The final answer is $21$.
More Information
Three-fourths means you are taking 3 parts out of 4 equal parts. In this case, by multiplying 28 by $\frac{3}{4}$, we find that 21 is a portion of 28 that represents three-fourths.
Tips
- Forgetting to convert whole numbers into fractions when multiplying with fractions.
- Not simplifying the fraction after multiplication; always check for common factors.
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