Question

Nico and Lorena used different methods to determine the product of three fractions. Nico's Method Lorena's Method (2)(1/6)(-4/5) (2)(1/6)(-4/5) =(2/1)(1/6)(-4/5) =(2/1)(1/6)(-4/-5) =(2)(1)(-4)/(1)(6)(5) =(2)(1)(-4)/(1)(6)(-5) = -8/30 = -8/-30 = -4/15 = 4/15 Whose solution is correct and why?

Answer 1

Nico's solution is correct, as he followed the correct order of operations.

Step-by-step explanation:

To determine whose solution is correct, let's evaluate the expressions step-by-step.

Nico's method correctly multiplies the fractions first before multiplying the whole numbers. Lorena's method multiplies the whole numbers before multiplying the fractions, which is incorrect.

Nico's method: (2)(1/6)(-4/5) = (2/1)(1/6)(-4/5) = -8/30 = -4/15

Lorena's method: (2)(1/6)(-4/5) = (2)(1)(-4)/(1)(6)(5) = 4/15

Therefore, Nico's solution is correct because he followed the correct order of operations.

Learn more about Order of Operations