Math Problem Statement

How do you multiply fractions by whole numbers

Solution

Multiplying fractions by whole numbers is a straightforward process. Here's how you do it:

Step-by-Step Process:

  1. Convert the Whole Number to a Fraction:

    • A whole number can be written as a fraction by putting it over 1. For example, the whole number 3 can be written as 31\frac{3}{1}.
  2. Multiply the Numerators:

    • Multiply the numerator of the fraction by the numerator of the whole number (which is now 1).
  3. Multiply the Denominators:

    • Multiply the denominator of the fraction by the denominator of the whole number (which is now 1).
  4. Simplify the Result (if possible):

    • After multiplying, simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (GCD).

Example:

Let's multiply 25\frac{2}{5} by 4.

  1. Convert the whole number 4 to a fraction: 4=414 = \frac{4}{1}

  2. Multiply the numerators: 2×4=82 \times 4 = 8

  3. Multiply the denominators: 5×1=55 \times 1 = 5

  4. Put it all together: 25×4=85\frac{2}{5} \times 4 = \frac{8}{5}

Since 85\frac{8}{5} is an improper fraction, it can also be written as a mixed number: 85=135\frac{8}{5} = 1 \frac{3}{5}

Summary:

  • 25×4=85\frac{2}{5} \times 4 = \frac{8}{5} or 1351 \frac{3}{5}.

Would you like more examples or have any questions?

Related Questions:

  1. How do you convert improper fractions to mixed numbers?
  2. What is the process for multiplying mixed numbers?
  3. How do you multiply two fractions together?
  4. What is the difference between multiplying fractions and dividing fractions?
  5. How can you simplify fractions before multiplying?

Tip:

Always remember to simplify the fraction after multiplying, as it makes the final result easier to understand and use in further calculations.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Fractions
Multiplication
Whole Numbers

Formulas

-

Theorems

-

Suitable Grade Level

Grades 4-6