Find [tex]\(\frac{4}{5}\)[/tex] of 15.
Answer (2)
Multiply the fraction 5 4 by 15: 5 4 \tims 15 .
Rewrite 15 as a fraction: 5 4 × 1 15 = 5 4 × 15 .
Calculate the numerator: 5 60 .
Simplify the fraction: 12 .
Explanation
Understanding the problem We need to find 5 4 of 15. This means we need to multiply the fraction 5 4 by the number 15.
Setting up the calculation To find 5 4 of 15, we perform the multiplication: 5 4 × 15
Multiplying the fraction We can rewrite 15 as 1 15 , so the expression becomes: 5 4 × 1 15 = 5 × 1 4 × 15 = 5 60
Simplifying the fraction Now, we simplify the fraction 5 60 by dividing 60 by 5: 5 60 = 12
Final Answer Therefore, 5 4 of 15 is 12.
Examples
Fractions are used in everyday life, such as when calculating proportions in recipes. For example, if a recipe calls for 15 cups of flour and you only want to make 5 4 of the recipe, you would need to calculate 5 4 of 15 cups. This calculation tells you exactly how much flour to use, ensuring your scaled-down recipe turns out perfectly. Understanding fractions helps in many similar situations, from cooking to construction.
To find 5 4 of 15, we multiply 5 4 by 15, which can be expressed as 5 4 × 1 15 resulting in 5 60 . Simplifying gives us the result of 12. Hence, 5 4 of 15 is 12.
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