Find [tex]\frac{5}{7}[/tex] of 35.
Answer (2)
The problem requires calculating a fraction of a whole number.
Multiply the fraction 7 5 by the whole number 35: 7 5 × 35 .
Simplify the expression: 7 5 × 35 = 5 × 5 = 25 .
The result of 7 5 of 35 is 25 .
Explanation
Understanding the problem We are asked to find 7 5 of 35. This means we need to multiply the fraction 7 5 by the number 35.
Setting up the calculation To find 7 5 of 35, we perform the multiplication: 7 5 × 35
Rewriting the expression We can rewrite 35 as 1 35 , so the expression becomes: 7 5 × 1 35 = 7 × 1 5 × 35
Simplifying the fraction Now, we can simplify the fraction by dividing 35 by 7: 7 × 1 5 × 35 = 7 × 1 5 × ( 7 × 5 ) = 1 5 × 5 = 25
Final Answer Therefore, 7 5 of 35 is 25.
Examples
Imagine you have a pizza cut into 7 equal slices, and you want to eat 5 of those slices. If the whole pizza originally had 350 calories, finding 7 5 of 350 would tell you how many calories you're consuming. This type of calculation is also useful in cooking when adjusting recipes, calculating discounts while shopping, or determining proportions in various real-life scenarios.
To find 7 5 of 35, you multiply 7 5 by 35, which simplifies to 25. Thus, 7 5 of 35 is 25. This process involves understanding multiplication of fractions and simplifies down to simple division.
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