Respuesta :

gmany

Answer:

[tex]\large\boxed{8\dfrac{19}{45}}[/tex]

Step-by-step explanation:

You must find LCD -  Least Common Denominator

9, 5, 15 - LCD is 45

45 = 9 · 5

45 = 15 ·3

[tex]-\dfrac{1}{9}=-\dfrac{1\cdot5}{9\cdot5}=-\dfrac{5}{45}\\\\8\dfrac{3}{5}=8\dfrac{3\cdot9}{5\cdot9}=8\dfrac{27}{45}\\\\-\dfrac{1}{15}=-\dfrac{1\cdot3}{15\cdot3}=-\dfrac{3}{45}[/tex]

[tex]-\dfrac{1}{9}+8\dfrac{3}{5}-\dfrac{1}{15}=-\dfrac{5}{45}+8\dfrac{27}{45}-\dfrac{3}{45}\\\\=-\dfrac{5}{45}+8+\dfrac{27}{45}-\dfrac{3}{45}\\\\=8+\dfrac{-5+27-3}{45}=8+\dfrac{19}{45}=8\dfrac{19}{45}[/tex]

pinoy1172

8 19/45

Convert mixed numbers to improper fractions: 8 3/5=43/5

-1/9 + 43/5-1/15

then find the least common multiplier of 9,5,15:45

Adjust fractions based on the LCM

=-5/45+387/45-3/45

Since the denominator are equal,combine the fractions

=-5+387-3/45

Add/Subtract the numbers -5+387-3=379

=379/45

Convert improper fractions to mixed numbers: 379/45

=8 19/45

THERE YOU GO I SHOWED MY WORK, HOPE IT HELPS :)

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