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5) choose the lcd and the gcf for the equation below. when the fraction…

Question

  1. choose the lcd and the gcf for the equation below. when the fraction is in its simplest form, select gcf = 1. -1\frac{2}{3}+2\frac{3}{4} lcd = gcf =

Explanation:

Step1: Find the LCD of 3 and 4

The multiples of 3 are 3, 6, 9, 12, 15, ... and the multiples of 4 are 4, 8, 12, 16, ... The least - common multiple (LCD) of 3 and 4 is 12.

Step2: Consider the GCF of the resulting fractions in simplest form

Since we are dealing with fractions in simplest form and no non - 1 common factors will be present in the final result of the addition (after finding a common denominator and simplifying), the greatest - common factor (GCF) of the numerator and denominator of the final fraction in simplest form is 1.

Answer:

LCD = 12
GCF = 1