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What is the difference of $415$ and $215$ ?

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2915

2715

2815

2315

answer is A.

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Detailed Solution

The given fractions are,

415

and

215

In order to subtract unlike fractions, they must be converted into equivalent like fractions.
Converting the mixed fraction into simple fraction, we get

215 = (5 × 2) + 1 5 = 10 + 1 5 = 115

Therefore, now we have to subtract

415

from

115 .

The LCM of the denominator 5 and 15 is 15.
So, we convert the given fractions into equivalent fractions with denominator 15.
Thus,

115 = 11 × 3 5 × 3 = 3315

215 − 415 = 2915

Therefore we have,

115 − 415 = 33 − 4 15 = 2915

Therefore the difference of

415

and

215

2915 .

Hence option (1) is correct.

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