Compare 40/64 and 75/10
1st number: 40/64, 2nd number: 7 5/10
40/64 is smaller than 75/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 10 is 320
Next, find the equivalent fraction of both fractional numbers with denominator 320 - For the 1st fraction, since 64 × 5 = 320,
40/64 = 40 × 5/64 × 5 = 200/320 - Likewise, for the 2nd fraction, since 10 × 32 = 320,
75/10 = 75 × 32/10 × 32 = 2400/320 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/320 < 2400/320 or 40/64 < 75/10
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