6 (1/2 + 2/3 + 3/4)
Did you look a your math book
Order of operations says to do parenthesis first. So look at the denominators of the fractions, and figure out the Least Common Denominator (LCD). Think you can figure it out from there?
Is the answer 11 1/2
@Help Yes that is the right answer.
To evaluate the expression 6(1/2 + 2/3 + 3/4), we need to simplify the sum of the fractions inside the parentheses first, and then multiply the result by 6.
Let's start by finding a common denominator for the three fractions: 2, 3, and 4. In this case, the least common multiple of 2, 3, and 4 is 12. So we'll transform each fraction to have a denominator of 12.
(1/2 + 2/3 + 3/4)
To convert 1/2 to have a denominator of 12, we multiply the numerator and denominator by 6:
(6/12 + 2/3 + 3/4)
To convert 2/3 to have a denominator of 12, we multiply the numerator and denominator by 4:
(6/12 + 8/12 + 3/4)
To convert 3/4 to have a denominator of 12, we multiply the numerator and denominator by 3:
(6/12 + 8/12 + 9/12)
Now that all the fractions have the same denominator, we can add them together:
(6 + 8 + 9)/12
Combining the numerators:
23/12
Now, we multiply this sum by 6, as indicated in the original expression:
6 * (23/12)
When multiplying a fraction by a whole number, we multiply the numerator of the fraction by the whole number while keeping the denominator the same:
(6 * 23) / 12
Evaluating the numerator:
138 / 12
Finally, we simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which in this case is 6:
(23 / 2)
Therefore, the value of 6(1/2 + 2/3 + 3/4) is 23/2 or 11.5.