Calculate with distributions and without distribution: Find the value of this fractions computation: 6{1/2+2/3+3/4}
with distribution:
6( 1/2 + 2/3) + 3/4)
= 3 + 4 + 9/2
=7 9/2 or 11 1/2 or 23/9
without distribution:
add up the 3 fractions in the bracket, first obtaining a common denominator, then multiply that by 6 , reduce your fraction answer to lowest terms
You MUST get the same answer.
Is It (1/2+2/3+3/4)=1 11/12 x6=11 1/2?
Well, I believe 11 1/2 is right. I do not understand the 23/9, think it means 23/2
thanks
To calculate the value of the fraction computation 6{1/2 + 2/3 + 3/4}, we can solve it using both distributions and without distributions (also known as finding a common denominator).
First, let's solve it using distributions:
Step 1: Distribute the 6 to each term inside the brackets:
6 * 1/2 + 6 * 2/3 + 6 * 3/4
Step 2: Simplify each term:
3 + 4 + 4.5
Step 3: Add up the simplified terms:
3 + 4 + 4.5 = 11.5
So, using distributions, the value of 6{1/2 + 2/3 + 3/4} is 11.5.
Now, let's solve it without distributions:
Step 1: Find a common denominator for the fractions inside the brackets.
The common denominator for 2, 3, and 4 is 12.
Step 2: Rewrite each fraction with the common denominator:
1/2 = 6/12
2/3 = 8/12
3/4 = 9/12
Step 3: Add up the fractions:
6/12 + 8/12 + 9/12 = 23/12
Step 4: Simplify the fraction, if possible:
The fraction 23/12 cannot be further simplified.
So, without using distributions, the value of 6{1/2 + 2/3 + 3/4} is 23/12.