Question

What properties can be used in computing 2/5(5*7/6)+1/3*(3*4/11)

Answer 1

2/5×(5×7/6)+1/3×(3×4/11)
2/5×7/30+1/3×4/33
6×2+1×7/30+1×11+4/33
12+7/30+11+4/34
19/30+15/33
19+15/990
34/990


Hope it's helpful........

Answer 2

Answer:

Associative Property

Multiplicative Inverse

Closure Property

Step-by-step explanation:

2/5*(5*7/6)+1/3*(3*4/11)

= (2/5*5)*7/6+(1/3*3)*4/11

[associative property . a*(b*c)=(a*b)*c]

=[(2*1)*7/6]+[(1*1)*4/11]

[Multiplicative Indenty . a*1=a=1*a]

=(2*7/6)+(1*4/11)

=(1*7/3)+(1*4/11)

=7/3+4/11

[closure property . a+b]

=(11*7)+(3*4)/33 {after finding LCM}

=77+12/33

=89/33

=2+22/33 {mixed fraction}

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