[tex]\frac{7}{9} \times \frac{4}{28}[/tex]
Answer (2)
Multiply the numerators: 7 × 4 = 28 .
Multiply the denominators: 9 × 28 = 252 .
Simplify the fraction 252 28 by dividing both the numerator and the denominator by their greatest common divisor, which is 28.
The final answer is 9 1 .
Explanation
Understanding the problem We are asked to compute the product of two fractions: 9 7 × 28 4 . To do this, we will multiply the numerators and the denominators, and then simplify the resulting fraction.
Multiplying the fractions First, let's multiply the numerators: 7 × 4 = 28 . Then, let's multiply the denominators: 9 × 28 = 252 . So, we have 252 28 .
Finding the GCD Now, we need to simplify the fraction 252 28 . We can find the greatest common divisor (GCD) of 28 and 252. The prime factorization of 28 is 2 2 × 7 , and the prime factorization of 252 is 2 2 × 3 2 × 7 . The GCD is 2 2 × 7 = 4 × 7 = 28 .
Simplifying the fraction Now, we divide both the numerator and the denominator by the GCD, which is 28: 252 ÷ 28 28 ÷ 28 = 9 1 .
Final Answer Therefore, 9 7 × 28 4 = 9 1 .
Examples
Fractions are used in everyday life, such as when cooking, measuring ingredients, or splitting a bill with friends. For example, if you want to make half of a recipe that calls for 3 2 cup of flour, you need to multiply 2 1 × 3 2 to find the amount of flour needed. Understanding how to multiply fractions is essential for many practical tasks.
To multiply the fractions 9 7 and 28 4 , first multiply the numerators to get 28 and the denominators to get 252, forming 252 28 . By simplifying 252 28 by dividing both numerator and denominator by their GCD, we find the final answer of 9 1 .
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