Simplify: 8 – [4(1/2)] – [2(1/4)]

1.	Simplify: 8 – [4(1/2)] – [2(1/4)]
Answer» 8 – [4(1/2)] – [2(1/4)] Convert mixed fraction into improper fraction, and then find the difference. = [4(1/2)] = (9/2) = [2(1/4)] = (9/4) LCM of 1, 2, 4 = 4 Now, let us change each of the given fraction into an equivalent fraction having 4 as the denominator. = (9/2) × (2/2) = (18/4) = (9/4) × (1/1) = (9/4) = (8/1) × (4/4) = (32/4) Then, = (32/4) – (18/4) – (9/4) = [(32-18-9)/4] = [(32-27)/4] = (5/4) = [1(1/4)]

Answer»

8 – [4(1/2)] – [2(1/4)]

Convert mixed fraction into improper fraction, and then find the difference.

= [4(1/2)] = (9/2)

= [2(1/4)] = (9/4)

LCM of 1, 2, 4 = 4

Now, let us change each of the given fraction into an equivalent fraction having 4 as the denominator.

= (9/2) × (2/2) = (18/4)

= (9/4) × (1/1) = (9/4)

= (8/1) × (4/4) = (32/4)

Then,

= (32/4) – (18/4) – (9/4)

= [(32-18-9)/4]

= [(32-27)/4]

= (5/4)

= [1(1/4)]

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