Answer:
Multiplying both sides of the equation by 35 eliminates the fractions
Explanation:
You want to know how to eliminate the fractions from the equation n/5+3/7=2.
Multiplication property of equality
The multiplication property of equality allows you to multiply both sides of an equation by the same number without changing the value of the variable. To eliminate fractions, the number we choose can be the least common denominator of the fractions.
Application
Fractions with denominators 5 and 7 will have a least common denominator of 5·7 = 35. Multiplying the equation by 35 gives ...
35(n/5 +3/7) = 35(2)
7n +15 = 70
Multiplying both sides of the equation by 35 eliminates the fractions.
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Additional comment
The solution to this 2-step equation is ...
n = (70 -15)/7 = 55/7 = 7 6/7