Addition of fractions - Examples, Exercises and Solutions

$\frac{4}{8}+\frac{4}{10}=$

Let's try to find the lowest common multiple between 8 and 10

To find the lowest common multiple, we need to find a number that is divisible by both 8 and 10

In this case, the lowest common multiple is 40

Now, let's multiply each number in the appropriate multiples to reach the number 40

We will multiply the first number by 5

We will multiply the second number by 4

$\frac{4\times5}{8\times5}+\frac{4\times4}{10\times4}=\frac{20}{40}+\frac{16}{40}$

Now let's calculate:

$\frac{20+16}{40}=\frac{36}{40}$

$\frac{36}{40}$

$\frac{2}{4}+\frac{1}{4}=$$$

$\frac{3}{4}$

$\frac{1}{4}+\frac{3}{4}=$

$1$

$\frac{1}{2}+\frac{1}{2}=$

$1$

$$$\frac{4}{5}+\frac{1}{5}=$

$1$

$\frac{2}{5}+\frac{1}{5}=$

$\frac{3}{5}$

$\frac{2}{6}+\frac{3}{6}=$

$\frac{5}{6}$

$\frac{2}{6}+\frac{1}{6}=$

$\frac{3}{6}$

$\frac{2}{7}+\frac{1}{7}=$

$\frac{3}{7}$

$\frac{3}{7}+\frac{2}{7}=$

$\frac{5}{7}$

$\frac{1}{8}+\frac{6}{8}=$

$\frac{7}{8}$

$\frac{3}{8}+\frac{4}{8}=$

$\frac{7}{8}$

$\frac{5}{8}+\frac{1}{8}=$

$\frac{6}{8}$

$\frac{5}{9}+\frac{4}{9}=$

$1$

$\frac{2}{9}+\frac{3}{9}=$

$\frac{5}{9}$