Solve (a+b)÷(3/4): Division with Algebraic Expression and Fractions

Question

(a+b):(3/4)=? (a+b):(3/4)=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Let's write division as a fraction
00:11 Division is also multiplication by the reciprocal
00:23 And this is the solution to the question

Step-by-Step Solution

We begin by writing the exercise as a fraction:

(a+b):34= (a+b):\frac{3}{4}=

We then write the fraction in reverse order for the purpose of obtaining a multiplication exercise:

(a+b)×43= (a+b)\times\frac{4}{3}=

Finally we obtain the following result:

43(a+b) \frac{4}{3}(a+b)

Answer

43(a+b) \frac{4}{3}(a+b)