Compare 4/70 and 42/48
4/70 is smaller than 42/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 48 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 70 × 24 = 1680,
4/70 = 4 × 24/70 × 24 = 96/1680 - Likewise, for the 2nd fraction, since 48 × 35 = 1680,
42/48 = 42 × 35/48 × 35 = 1470/1680 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/1680 < 1470/1680 or 4/70 < 42/48
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