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

  1. 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 $$ \frac{5}{1} $$.

  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:

$$ \frac{3}{4} \times \frac{5}{1} = \frac{3 \times 5}{4 \times 1} $$

  1. Calculate the result

Calculating the above expression gives:

$$ \frac{15}{4} $$

  1. 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.

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