[tex]\frac{6}{7} \times \frac{1}{2}=?[/tex]
Answer (2)
Multiply the numerators and denominators: 7 6 × 2 1 = 14 6 .
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (2): 14 6 = 7 3 .
Compare the simplified fraction with the given options.
The correct answer is 7 3 .
Explanation
Understanding the Problem We are given the expression 7 6 × 2 1 and asked to evaluate it. We need to choose the correct answer from the given options: 7 3 , 14 3 , 7 12 , 7 2 .
Multiplying the Fractions To multiply fractions, we multiply the numerators together and the denominators together: 7 6 × 2 1 = 7 × 2 6 × 1 = 14 6 .
Simplifying the Fraction Now, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2: 14 6 = 14 ÷ 2 6 ÷ 2 = 7 3 .
Finding the Correct Answer Comparing the simplified fraction 7 3 with the given options, we find that it matches the first option.
Examples
Fractions are used in everyday life, such as when cooking, baking, or measuring ingredients. For example, if a recipe calls for 2 1 cup of flour and you only want to make half of the recipe, you would need to calculate 2 1 × 2 1 = 4 1 cup of flour. Understanding how to multiply fractions is essential for accurately adjusting recipes and other measurements.
To multiply 7 6 by 2 1 , multiply the numerators to get 6 and the denominators to get 14, resulting in 14 6 . Simplifying this gives 7 3 . Therefore, the answer is 7 3 .
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