Multiply. Write your answer in simplest form.
[tex]\frac{4}{9} \times \frac{2}{3}[/tex]
Answer (2)
Multiplying 9 4 by 3 2 gives us 27 8 . This fraction is already in simplest form. Therefore, the answer is 27 8 .
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Multiply the numerators: 4 × 2 = 8 .
Multiply the denominators: 9 × 3 = 27 .
The resulting fraction is 27 8 .
The fraction 27 8 is in simplest form, so the answer is 27 8 .
Explanation
Understanding the Problem We need to multiply two fractions, 9 4 and 3 2 , and simplify the result.
Multiplying the Fractions To multiply fractions, we multiply the numerators together and the denominators together. So, we have: 9 4 × 3 2 = 9 × 3 4 × 2
Calculating the Result Now, we perform the multiplication in the numerator and the denominator: 9 × 3 4 × 2 = 27 8
Simplifying the Fraction The fraction 27 8 is in its simplest form because 8 and 27 have no common factors other than 1.
Finding the Correct Option Comparing our result with the given options, we find that the correct answer is 27 8 .
Examples
Fractions are used in everyday life, such as when baking a cake. If a recipe calls for 3 1 cup of flour and you only want to make half of the recipe, you need to multiply 3 1 by 2 1 to find out how much flour you need. This gives you 6 1 cup of flour. Understanding how to multiply fractions is essential for accurately adjusting recipes and measuring ingredients.
