Identify the property or rule that justifies each tep in the calculation.
4/7k+(j+1/7k)
To identify the property or rule that justifies each step in the calculation of the expression 4/7k + (j+1/7k), let's break down the calculation:
Step 1: 4/7k + (j + 1/7k)
In this step, we have an addition of fractions and a variable (j). The property that justifies this step is the property of addition, which states that you can add fractions together as long as they have a common denominator. Additionally, the variable (j) can be added to the fraction because it does not have any other operations involved.
Step 2: (4 + j)/7k + 1/7k
In this step, we have simplified the fraction by adding the numerators of 4/7k (4) and j/7k (j) together. This simplification is also a result of the property of addition.
Step 3: (4 + j + 1)/7k
In this step, we have simplified the expression by adding the remaining fraction, 1/7k, to the resulting fraction from the previous step. Again, this is possible due to the property of addition.
Therefore, the property that justifies each step in the calculation is the property of addition for fractions and variables.