name the property -9/3 + ( 3/4 + 7/5) = (9/3 + 3/4) 7/5
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In this question,
We are given : a rational expression → 9/3 + ( 3/4 + 7/5) = (9/3 + 3/4) + 7/5
We need to : name the property used in the given rational expression.
Simple Answer : It is the associative property of addition in rational numbers.
Further learning :
As we got the rational expression, let's verify it by using the associative law of addition.
→ 9/3 + ( 3/4 + 7/5) = (9/3 + 3/4) + 7/5
Following the BODMAS rule,
→ 9/3 + (15+28/20) = (36+9/12) + 7/5
→ 9/3 + 43/20 = 45/12 + 7/5
→ 180+129/60 = 225+84/60
→ 309/60 = 309/60
On cancelling,
→ 103/20 = 103/20
∴ LHS = RHS
Hence, verified ☑
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