Question

What’s 1 2/6 + 3 4/8. Help

Answer 1

Answer:

$4 \frac{5}{6}$

Step-by-step explanation:

We can write $1 \frac{2}{6}$ as $\frac{8}{6}$ and we can write $3 \frac{4}{8}$ as $\frac{28}{8}$. So the question becomes $\frac{8}{6} + \frac{28}{8}$. We can simplify both fractions so that the expression is $\frac{4}{3} + \frac{7}{2}$ and to add the two fractions we need to find a common denominator. The least common multiple of 2 and 3 is 6, so we want the denominator to be 6 in both fractions. To do this, we multiply $\frac{4}{3}$ by $\frac{2}{2}$ and we multiply $\frac{7}{2}$ by $\frac{3}{3}$.

So finally we get $\frac{4}{3} \times \frac{2}{2} + \frac{7}{2} \times \frac{3}{3}$, which is $\frac{8}{6} + \frac{21}{6}$, which is $\frac{29}{6}$.

And now all we have to do is rewrite the improper fraction $\frac{29}{6}$. Notice 6 goes into 29 exactly 4 times, with a remainder of 5. So the expression simplifies to $4 \frac{5}{6}$