Solve 5 + (4/7 ÷ 2): Complex Fraction Addition Problem

Question

5+472= ? 5+\frac{\frac{4}{7}}{2}=\text{ ?}

Video Solution

Solution Steps

00:00 Solve
00:03 Convert division to multiplication with reciprocal
00:07 Always solve multiplication and division before addition and subtraction, simplify
00:12 And this is the solution to the question

Step-by-Step Solution

To simplify the fraction exercise, we will multiply 47 \frac{4}{7} by 12 \frac{1}{2} .

We will then rearrange the exercise accordingly and following the order of operations rules, we will first solve the multiplication exercise:

5+47×12= 5+\frac{4}{7}\times\frac{1}{2}=

Note that in the multiplication exercise, we can reduce 4 in the numerator and 2 in the denominator by 2:

5+27×11=5+27+1 5+\frac{2}{7}\times\frac{1}{1}=5+\frac{2}{7}+1

Finally we will combine the whole numbers to get:

5+1+27=627 5+1+\frac{2}{7}=6\frac{2}{7}

Answer

627 6\frac{2}{7}