Verified answer

Answer:

[tex] \frac{43}{30} [/tex]

Step-by-step explanation:

[tex] \frac{3}{5} + \frac{5}{6} [/tex]

[tex] \frac{18 + 25}{30} [/tex]

[tex] \frac{43}{30} [/tex]

Answer:

Sum of rational numbers [tex]\frac{3}{5}[/tex]  and [tex]\frac{5}{6}[/tex]  is  [tex]\frac{43}{30}[/tex]  .

Step-by-step explanation:

To find : sum of rational numbers [tex]\frac{3}{5}[/tex]  and [tex]\frac{5}{6}[/tex] .

Solution:

• As per given condition we write , [tex]\frac{3}{5}+\frac{5}{6}[/tex]
• To find the sum of given rational numbers we get need to equalize denominators of both the rational numbers. By taking LCM
• Therefore, LCM = [tex]30[/tex]
• Now, multiplying numerators of both rational numbers by same number as multiplied by denominators to make LCM.
• Therefore, we get, [tex]\frac{3}{5}+\frac{5}{6}=\frac{3 \times 6}{30}+\frac{5 \times 5}{30}[/tex]

                                                 [tex]=\frac{18}{30} +\frac{25}{30}\\\\=\frac{18 + 25}{30} \\\\ = \frac{43}{30}[/tex]