Compare 42/70 and 30/64
42/70 is greater than 30/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 64 is 2240
Next, find the equivalent fraction of both fractional numbers with denominator 2240 - For the 1st fraction, since 70 × 32 = 2240,
42/70 = 42 × 32/70 × 32 = 1344/2240 - Likewise, for the 2nd fraction, since 64 × 35 = 2240,
30/64 = 30 × 35/64 × 35 = 1050/2240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1344/2240 > 1050/2240 or 42/70 > 30/64
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