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:
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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 .
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Multiply the Numerators:
- Multiply the numerator of the fraction by the numerator of the whole number (which is now 1).
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Multiply the Denominators:
- Multiply the denominator of the fraction by the denominator of the whole number (which is now 1).
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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 by 4.
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Convert the whole number 4 to a fraction:
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Multiply the numerators:
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Multiply the denominators:
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Put it all together:
Since is an improper fraction, it can also be written as a mixed number:
Summary:
- or .
Would you like more examples or have any questions?
Related Questions:
- How do you convert improper fractions to mixed numbers?
- What is the process for multiplying mixed numbers?
- How do you multiply two fractions together?
- What is the difference between multiplying fractions and dividing fractions?
- 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.
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Math Problem Analysis
Mathematical Concepts
Fractions
Multiplication
Whole Numbers
Formulas
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Theorems
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Suitable Grade Level
Grades 4-6