Math Problem Statement
Multiply. Write your answer as a fraction or as a whole or mixed number.
2 × 2 1 4
Solution
To multiply the fractions , let's first express the whole number as a fraction. We can write as .
Now, we multiply:
Next, simplify the fraction . Divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
Now, is an improper fraction, but we can also express it as a mixed number:
So, the answer is or .
Would you like more details or have any further questions?
Here are 5 related questions to explore:
- How do you convert an improper fraction to a mixed number?
- What is the process to simplify a fraction?
- Can you multiply a fraction by a whole number using the same method?
- How do you handle mixed numbers in multiplication?
- What is the greatest common divisor (GCD) of 18 and 4?
Tip: When simplifying fractions, always divide both the numerator and the denominator by their GCD to get the simplest form.
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Math Problem Analysis
Mathematical Concepts
Fraction Multiplication
Mixed Numbers
Simplification of Fractions
Formulas
a × b = (a/b) × (c/d) = (a × c) / (b × d)
Theorems
Simplification by GCD
Conversion of Improper Fractions to Mixed Numbers
Suitable Grade Level
Grades 4-6