Question

iv) Simplify:8×3/5-(6×1/2-4×1/2-3×3/4)​

Answer 1

Solution

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First we convert each mixed fraction into an improper fraction.

⇒[8(5/6)]=(53/6)

also ⇒[3(3/8)]=(27/8)

and ⇒[1(7/12)]=(19/12)

Then,

(53/6)−(27−8)−(19/12)

LCM of 6,8,12=24

Now, let us change each of the given fraction into an equivalent fraction having 24 as the denominator.

=[(53/6)×(4/4)]=(212/24)

also =[(27/8)×(3/3)]=(81/24)

and =[(19/12)×(2/2)]=(38/24)

Now,

=(212/24)−(81/24)−(38/24)

=[(212−81+38)/24]

=[(250−81/24)]

=(169/24)

=[7(1/24)]