Respuesta :

Answer:

m = 4 14/45

Step-by-step explanation:

Combine the two fractions by finding and applying the LCD.  That LCD here is (9)(5) = 45, so we have the equivalent equation:

7 5/45 - 2 36/45 = m

Borrow 45/45 from the first term, obtaining:

6 50/45 - 2 36/45 = m = 4 14/45

The value of "m" will be "7".

Given expression:

→ [tex]7\frac{1}{9} = 2\frac{4}{5}+m[/tex]

or,

→ [tex]\frac{63}{9} = \frac{14}{5} + m[/tex]

By subtracting "[tex]\frac{14}{5}[/tex]" from both sides, we get

→ [tex]\frac{63}{9} - \frac{14}{5} =m[/tex]

By taking "L.C.M", we get

→ [tex]\frac{315-126}{45} = m[/tex]

→        [tex]\frac{189}{45} =m[/tex]

→         [tex]\frac{21}{3} =m[/tex]

→          [tex]m =7[/tex]

Thus the above answer is right.

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