Respuesta :

Hi1315

Answer:

[tex]16 \frac{2}{45} [/tex]

Step-by-step explanation:

[tex]10 \frac{1}{9} + 5 \frac{14}{15} \\ \frac{91}{9} + \frac{89}{15} \\ \frac{91 \times 5}{9 \times 5} + \frac{89 \times 3}{15 \times 3} \\ \frac{455}{45} + \frac{267}{45} \\ = \frac{722}{45} \\ = 16 \frac{2}{45} [/tex]

Answer: [tex]16\frac{2}{45}[/tex]

Turn 10 1/9 into an Improper Fraction

Multiply [tex]10*9[/tex] and get [tex]90[/tex]. Now add [tex]1[/tex] and get [tex]91[/tex].

[tex]10\frac{1}{9} =91/9[/tex]

Turn 5 14/15 into an Improper Fraction

Multiply [tex]5*15[/tex] and get [tex]75[/tex]. Now add [tex]14[/tex] and get [tex]89[/tex].

[tex]5\frac{14}{15} =89/15[/tex]

New Problem: [tex]91/9+89/15[/tex]

Find Common Denominator

[tex]9: 9,18,27,36,45\\15: 15,30,45,60,75\\CD=45[/tex]

New Problem: [tex]91/45+89/45[/tex]

Add

[tex]91/45+89/45=722/45[/tex]

Simplify

[tex]722/45=16\frac{2}{45}[/tex]

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