Compare 70/75 and 84/63
1st number: 70/75, 2nd number: 1 21/63
70/75 is smaller than 84/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 63 is 1575
Next, find the equivalent fraction of both fractional numbers with denominator 1575 - For the 1st fraction, since 75 × 21 = 1575,
70/75 = 70 × 21/75 × 21 = 1470/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
84/63 = 84 × 25/63 × 25 = 2100/1575 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1470/1575 < 2100/1575 or 70/75 < 84/63
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