Multiply: [tex]$\frac{5}{12} \times \frac{5}{11}$[/tex]
Answer (2)
Multiply the numerators: 5 × 5 = 25 .
Multiply the denominators: 12 × 11 = 132 .
The result of the multiplication is 132 25 .
The final answer is 132 25 .
Explanation
Problem Analysis We are asked to multiply two fractions, 12 5 and 11 5 , and select the correct answer from the given options.
Multiplication of Fractions To multiply fractions, we multiply the numerators together and the denominators together. The numerator of the resulting fraction is the product of the numerators of the original fractions, and the denominator of the resulting fraction is the product of the denominators of the original fractions.
Calculate Numerator The product of the numerators is 5 × 5 = 25 .
Calculate Denominator The product of the denominators is 12 × 11 = 132 .
Result Therefore, the result of the multiplication is 132 25 .
Final Answer Comparing the result with the given options, we find that 132 25 is one of the options.
Examples
In baking, if a recipe calls for 12 5 of a cup of flour and you want to make 11 5 of the recipe, you would multiply 12 5 × 11 5 to find out how much flour you need. This calculation ensures you scale the ingredients correctly to maintain the recipe's proportions, resulting in a smaller batch that tastes just as good as the original.
When multiplying the fractions 12 5 and 11 5 , we multiply the numerators to get 25 and the denominators to get 132. Thus, the result is 132 25 . The final answer is 132 25 .
;
