Compare 7/8 and 32/75
7/8 is greater than 32/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 8 × 75 = 600,
7/8 = 7 × 75/8 × 75 = 525/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
32/75 = 32 × 8/75 × 8 = 256/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/600 > 256/600 or 7/8 > 32/75
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