Find [tex]\(\frac{3}{7}\)[/tex] of 14.
Answer (2)
To find 7 3 of 14, you multiply the fraction by 14. Simplifying gives you 3 × 2 = 6 . Therefore, the answer is 6.
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Multiply the fraction 7 3 by the whole number 14.
Simplify the expression: 7 3 × 14 = 3 × 7 14 .
Calculate 7 14 = 2 .
Multiply the result: 3 × 2 = 6 .
Explanation
Problem Analysis We need to find 7 3 of 14. This means we need to multiply the fraction 7 3 by the number 14.
Setting up the Calculation To find 7 3 of 14, we perform the multiplication: 7 3 × 14
Simplifying the Expression We can simplify this expression by first dividing 14 by 7: 7 3 × 14 = 3 × 7 14 = 3 × 2
Performing the Multiplication Now, we multiply 3 by 2: 3 × 2 = 6
Final Answer Therefore, 7 3 of 14 is 6.
Examples
Imagine you have a pizza cut into 7 equal slices, and you want to eat 3 of those slices. If the whole pizza has a total of 1400 calories, finding 7 3 of the total calories will tell you how many calories are in the 3 slices you want to eat. In this case, 7 3 × 1400 = 600 calories. This concept is useful in many real-life situations where you need to find a fraction of a whole.
