Question

" \frac{5}{3} + \frac{4}{6} = " alt=" \frac{5}{3} + \frac{4}{6} = " align="absmiddle" class="latex-formula">
.................​

Answer 1

Answer:

$\frac{7}{3} =2\frac{1}{3}$

Step-by-step explanation:

For the problem:

$\frac{5}{3} +\frac{4}{6} = ?$

The Least Common Multiple (LCM) of 3 and 6 is 6. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

$\frac{5}{3} +\frac{4}{6} =\frac{5*2}{3*2} +\frac{4}{6} =\frac{10}{6} +\frac{4}{6}$

Now that the fractions have like denominators, add the numerators:

$\frac{10}{6} +\frac{4}{6} =\frac{10+4}{6} =\frac{14}{6}$

The Greatest Common Factor (GCF) of 14 and 6 is 2. The result can be simplified by dividing both the numerator and denominator by 2.

$\frac{14}{6} =\frac{14/2}{6/2} =\frac{7}{3}$

7 ÷ 3 = 2R1, therefore:

$\frac{7}{3} =2\frac{1}{3}$