Solve: (a+b+c)÷((3a+3b+3c)/2) - Expression Division Problem

Question

Solve the following problem:

(a+b+c):(3a+3b+3c2)=? (a+b+c):(\frac{3a+3b+3c}{2})=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Division is also multiplication by the reciprocal
00:20 Make sure to multiply numerator by numerator and denominator by denominator
00:28 Take out the common factor (3) from the parentheses
00:35 Reduce what we can
00:39 And this is the solution to the question

Step-by-Step Solution

Let's flip the fraction to get a multiplication exercise:

(a+b+c)×(23a+3b+3c)= (a+b+c)\times(\frac{2}{3a+3b+3c})=

We'll add the expression in the first parentheses to the numerator of the fraction:

2(a+b+c)3a+3b+3c= \frac{2(a+b+c)}{3a+3b+3c}=

We'll write the denominator of the fraction as a multiplication exercise:

2(a+b+c)3(a+b+c)= \frac{2(a+b+c)}{3(a+b+c)}=

Let's simplify a+b+c:

23 \frac{2}{3}

Answer

23 \frac{2}{3}