[tex]\frac{4}{6} \times \frac{1}{2}=[/tex]
Answer (1)
Multiply the numerators and denominators: 6 4 × 2 1 = 6 × 2 4 × 1 = 12 4 .
Simplify the resulting fraction: 12 4 .
Reduce the fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor, which is 4: 12 ÷ 4 4 ÷ 4 = 3 1 .
The final answer is 3 1 .
Explanation
Understanding the Problem We are given the expression 6 4 × 2 1 . Our goal is to find the product of these two fractions and simplify the result to its simplest form. This involves multiplying the numerators and the denominators, and then reducing the fraction.
Multiplying the Fractions To multiply the fractions, we multiply the numerators together and the denominators together: 6 4 × 2 1 = 6 × 2 4 × 1 = 12 4 So, the result of the multiplication is 12 4 .
Simplifying the Fraction Now, we need to simplify the fraction 12 4 . Both the numerator and the denominator are divisible by 4. Dividing both by 4, we get: 12 ÷ 4 4 ÷ 4 = 3 1 Thus, the simplified fraction is 3 1 .
Final Answer Therefore, 6 4 × 2 1 = 3 1 .
Examples
Fractions are used in everyday life, such as when baking a cake. If a recipe calls for 2 1 cup of flour, and you only want to make 6 4 of the recipe, you need to calculate 6 4 × 2 1 to determine how much flour you need. This calculation ensures you get the proportions right for your smaller batch.
