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Answer with solution 2/9+11/15-13/29=

Sagot :

The12idn

Answer:

[tex]\frac{2}{9} +\frac{11}{15}-\frac{13}{29}[/tex] is [tex]\frac{662}{1305}[/tex].

Step-by-step explanation:

[tex]\frac{2}{9} +\frac{11}{15}-\frac{13}{29}[/tex]

  1. Solve the given problem by applying PEMDAS–Addition first.
    [tex](\frac{2}{9} +\frac{11}{15})-\frac{13}{29}\\[/tex] ; LCD: 45
    [tex](\frac{2}{9} +\frac{11}{15})-\frac{13}{29}\\(\frac{10}{45} +\frac{33}{45})-\frac{13}{29}\\ (\frac{43}{45})-\frac{13}{29}[/tex]
  2. Start subtracting the two fractions. Apply the butterfly method: multiply the diagonals, which would be your new numerator, and multiply both of the denominators, which would be your LCD or new denominator.
    [tex]\frac{43}{45}-\frac{13}{29}\\ \frac{1247-585}{1305} = \frac{662}{1305}[/tex]