verify(-3/5÷-12/35)÷1/14=-3/5÷(-12/35÷1/4)
Answers
Solution: By using the commutativity law, the addition of rational numbers is commutative ∴ a/b + c/d = c/d + a/b
In order to verify the above property let us consider the given fraction
-11/5 and 4/7 as
-11/5 + 4/7 and 4/7 + -11/5
The denominators are 5 and 7
By taking LCM for 5 and 7 is 35
We rewrite the given fraction in order to get the same denominator
Now, -11/5 = (-11 × 7) / (5 ×7) = -77/35
4/7 = (4 ×5) / (7 ×5) = 20/35
Since the denominators are same we can add them directly
-77/35 + 20/35 = (-77+20)/35 = -57/35
4/7 + -11/5
The denominators are 7 and 5
By taking LCM for 7 and 5 is 35
We rewrite the given fraction in order to get the same denominator
Now, 4/7 = (4 × 5) / (7 ×5) = 20/35
-11/5 = (-11 ×7) / (5 ×7) = -77/35
Since the denominators are same we can add them directly
20/35 + -77/35 = (20 + (-77))/35 = (20-77)/35 = -57/35
∴ -11/5 + 4/7 = 4/7 + -11/5 is satisfied.