harimohan4ku harimohan4ku
  • 20-08-2020
  • Mathematics
contestada

divide the sum of 3/8 and -5/12 by the reciprocal of -15/8×16/27​

Respuesta :

mjDufywelufyg mjDufywelufyg
  • 20-08-2020

Answer:

757

Step-by-step explanation:

Answer Link
devishri1977
devishri1977 devishri1977
  • 20-08-2020

Answer:

Step-by-step explanation:

Sum of 3/8 and -5/12:

Least common denominator of 8 & 12 = 24

[tex]\frac{3}{8}+\frac{-5}{12}=\frac{3*3}{8*3}+\frac{-5*2}{12*2}\\\\\\=\frac{9}{24}+\frac{-10}{24}\\\\\\=\frac{-1}{24}[/tex]

Finding -15/8 * 16/27:

[tex]\frac{-15}{8}*\frac{16}{27}=\frac{-5*2}{1*9}=\frac{-10}{9}[/tex]  

Reciprocal of -10/9 = -9/10

-1/24 ÷ -9/10 = [tex]\frac{-1}{24}*\frac{-10}{9}=\frac{1*5}{12*3}[/tex]

= [tex]\frac{5}{24}[/tex]

Answer Link

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