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### Discussion :: Problems on H.C.F and L.C.M

1. Which of the following fraction is the largest ?

2.  A. $$\frac { 7 } { 8}$$ B. $$\frac { 13 } { 16}$$ C. $$\frac { 31 } { 40 }$$ D. $$\frac {63 } {80 }$$

Answer : Option A

Explanation :

L.C.M. of 8, 16, 40 and 80 = 80.

$$\frac { 7 } { 8}$$=$$\frac { 70} { 80 }$$;$$\frac { 1 3} { 16 }$$=$$\frac { 65 } { 80 }$$;$$\frac { 31 } { 40 }$$=$$\frac { 62 } { 80 }$$

Since, $$\frac { 70} { 80 }$$ greater than $$\frac { 65 } { 80 }$$ greater than $$\frac { 63 } { 80 }$$ greater than $$\frac { 62 } { 80 }$$ , so  $$\frac { 7 } { 8}$$ greater than $$\frac { 1 3} { 16 }$$ greater than $$\frac { 63 } { 80 }$$ greater than $$\frac { 31 } { 40 }$$

So, $$\frac { 7 } { 8}$$  is the largest.

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