Compare 4/10 and 30/64
4/10 is smaller than 30/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 64 is 320
Next, find the equivalent fraction of both fractional numbers with denominator 320 - For the 1st fraction, since 10 × 32 = 320,
4/10 = 4 × 32/10 × 32 = 128/320 - Likewise, for the 2nd fraction, since 64 × 5 = 320,
30/64 = 30 × 5/64 × 5 = 150/320 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/320 < 150/320 or 4/10 < 30/64
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