\frac{4 1/7-2 1/4}{3 1/2+1 1/7}\div {1/{2+1/{2+1/{5-1/5}}}}

Simplification Test 2

Question : 33 of 40

Marks: +1, -0

{4 1/7-2 1/4}/{3 1/2+1 1/7}÷ {1/{2+1/{2+1/{5-1/5}}}}

Solution:

{4 1/7-2 1/4}/{3 1/2+1 1/7}÷ {1/{2+1/{2+1/{5-1/5}}}}

={ {29/7}-9/4}/{7/2+8/7}÷ {1/{2+1/{2+1/{24/5}}}}

={ {29×4-9×7}/28}/{ {7×7+8×2}/14}÷ {1/{2+1/{2+5/24}}}

={ {116-63}/28}/{ {49+16}/14}÷ {1/{2+1/{ 53/24}}}

={ {53}/28}/{ {65}/14}÷ {1/{2+24/53}}

={53×14}/{28×65}÷{1/{130/53}}

=53/130÷{53/130}=1

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