\frac{3 \cdot 6}{2}+\frac{7 \cdot 2}{3}=
Answer (2)
The calculated result of the expression 2 3 ⋅ 6 + 3 7 ⋅ 2 is 3 41 . This is done by simplifying each term and then adding them together. The use of a common denominator helps in combining the fractions correctly.
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Multiply and divide in the first term: 2 3 ⋅ 6 = 9 .
Multiply and divide in the second term: 3 7 ⋅ 2 = 3 14 .
Add the two terms: 9 + 3 14 = 3 27 + 3 14 = 3 41 .
The final answer is 3 41 .
Explanation
Understanding the Problem We are asked to evaluate the expression 2 3 ⋅ 6 + 3 7 ⋅ 2 . This involves performing multiplication and division, and then adding the resulting fractions.
Simplifying the First Term First, let's simplify the first term: 2 3 ⋅ 6 = 2 18 = 9 .
Simplifying the Second Term Next, let's simplify the second term: 3 7 ⋅ 2 = 3 14 .
Adding the Terms Now, we add the two terms: 9 + 3 14 . To do this, we need to express 9 as a fraction with a denominator of 3: 9 = 3 9 ⋅ 3 = 3 27 .
Final Calculation So, we have 3 27 + 3 14 = 3 27 + 14 = 3 41 .
The Answer The final result is 3 41 .
Examples
Fractions are used in everyday life, such as when baking, measuring ingredients, or splitting a bill with friends. Understanding how to add and simplify fractions is a fundamental skill in mathematics and has practical applications in various real-world scenarios. For example, if you are following a recipe that calls for 2 1 cup of flour and you only have a 4 1 cup measure, you need to know that you need to use it twice. Similarly, if you and two friends are splitting a pizza, each person gets 3 1 of the pizza.
