Compare 75/12 and 42/40, Which fraction is greater?

Compare 75/12 and 42/40

1^st number: 6 3/12, 2^nd number: 1 2/40

75/12 is greater than 42/40

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 40 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 12 × 10 = 120,
75/12 = 75 × 10/12 × 10 = 750/120
Likewise, for the 2nd fraction, since 40 × 3 = 120,
42/40 = 42 × 3/40 × 3 = 126/120
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
750/120 > 126/120 or 75/12 > 42/40

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad