Multiply.
$\frac{2}{7} \times 35=$
Answer (2)
Rewrite 35 as a fraction: 35 = 1 35 .
Multiply the fractions: 7 2 × 1 35 = 7 × 1 2 × 35 = 7 70 .
Simplify the fraction: 7 70 = 10 .
The final answer is: 10
Explanation
Understanding the Problem We are asked to multiply the fraction 7 2 by the number 35.
Multiplying the Fractions We can rewrite 35 as a fraction by writing it as 1 35 . This gives us the expression 7 2 × 1 35 To multiply fractions, we multiply the numerators and the denominators: 7 × 1 2 × 35 = 7 70
Simplifying the Fraction Now we simplify the fraction 7 70 . Since 70 = 7 × 10 , we have 7 70 = 7 7 × 10 = 10
Final Answer Therefore, the result of the multiplication is 10.
Examples
Understanding fraction multiplication is essential in many real-life scenarios. For instance, when you're baking and need to halve a recipe, you're essentially multiplying each ingredient by 2 1 . Similarly, if you're calculating discounts at a store, such as 20% off, you're multiplying the original price by 100 20 or 5 1 to find the amount of the discount. Mastering fraction multiplication helps in managing proportions, calculating areas, and understanding probabilities, making it a fundamental skill in both everyday tasks and advanced problem-solving.
To multiply 7 2 by 35, rewrite 35 as 1 35 , yielding 7 × 1 2 × 35 = 7 70 . Simplifying this gives the answer 10 . Thus, 7 2 × 35 = 10 .
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