Simplify the fraction: 6 3 = 2 1 .
Multiply the simplified fraction by 8: 2 1 × 8 = 2 8 .
Divide 8 by 2: 2 8 = 4 .
The final answer is: 4
Explanation
Understanding the problem We are asked to evaluate the expression 6 3 × 8 . This involves multiplying a fraction by a whole number. To do this, we can first simplify the fraction and then perform the multiplication.
Simplifying the fraction First, we simplify the fraction 6 3 . Both the numerator and the denominator are divisible by 3. Dividing both by 3, we get: 6 3 = 6 ÷ 3 3 ÷ 3 = 2 1 So, the simplified fraction is 2 1 .
Multiplying the fraction by 8 Now, we multiply the simplified fraction 2 1 by 8: 2 1 × 8 = 2 1 × 8 = 2 8 To find the value of 2 8 , we divide 8 by 2: 2 8 = 4 So, the result of the multiplication is 4.
Final Answer Therefore, 6 3 × 8 = 4 .
Examples
Fractions and multiplication are used in everyday life, such as when calculating proportions in recipes or determining discounts while shopping. For example, if a store offers a 50% discount on an item originally priced at 8 , yo u w o u l d c a l c u l a t e t h e d i sco u n t b y m u lt i pl y in g \frac{1}{2} \times 8$, which equals $4. So, the discount is $4, and the final price is $8 - $4 = $4.
To evaluate 6 3 × 8 , we first simplify the fraction to 2 1 . Then, we multiply this by 8 to get 4 . Therefore, the final answer is 4 .
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