Which Fraction is greater
( 6/9 , 5/12)
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Find the least common denominator or LCM of the two denominators:
LCM of 9 and 12 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36
For the 1st fraction, since 9 × 4 = 36,
6
9
=
6 × 4
9 × 4
=
24
36
Likewise, for the 2nd fraction, since 12 × 3 = 36,
5
12
=
5 × 3
12 × 3
=
15
36
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
24
36
>
15
36
or
6
9
>
5
12
LCM of 9 and 12 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36
For the 1st fraction, since 9 × 4 = 36,
6
9
=
6 × 4
9 × 4
=
24
36
Likewise, for the 2nd fraction, since 12 × 3 = 36,
5
12
=
5 × 3
12 × 3
=
15
36
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
24
36
>
15
36
or
6
9
>
5
12
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