3/4 multiplied by 5
Understand the Problem
The question is asking us to calculate the product of the fraction 3/4 and the whole number 5. This involves multiplying the fraction by the number.
Answer
The product is $$ \frac{15}{4} $$ or $$ 3 \frac{3}{4} $$.
Answer for screen readers
The product of $$ \frac{3}{4} $$ and 5 is $$ \frac{15}{4} $$ or as a mixed number, $$ 3 \frac{3}{4} $$.
Steps to Solve
- Convert the whole number to a fraction
To multiply a fraction by a whole number, we can express the whole number as a fraction. The whole number 5 can be written as $$ \frac{5}{1} $$.
- Multiply the fractions
Now, we multiply the two fractions together. The rule for multiplying fractions is to multiply the numerators and multiply the denominators.
So, we have:
$$ \frac{3}{4} \times \frac{5}{1} = \frac{3 \times 5}{4 \times 1} $$
- Calculate the result
Calculating the above expression gives:
$$ \frac{15}{4} $$
- Simplify if necessary
In this case, $$ \frac{15}{4} $$ is an improper fraction, which can also be converted to a mixed number. Dividing 15 by 4, we find:
$$ 15 \div 4 = 3 \quad \text{remainder} \quad 3 $$
So, we can express it as:
$$
3 \frac{3}{4}
$$
The product of $$ \frac{3}{4} $$ and 5 is $$ \frac{15}{4} $$ or as a mixed number, $$ 3 \frac{3}{4} $$.
More Information
The product represents how many parts of the whole you have when combining a fractional amount with a whole number. Improper fractions like $$ \frac{15}{4} $$ often occur in these situations, and they can be converted into mixed numbers for easier understanding.
Tips
- Forgetting to convert the whole number into a fraction before multiplication.
- Not simplifying the final result or converting an improper fraction to a mixed number when appropriate.