Add 49/75 and 20/54
49/75 + 20/54 is 691/675.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 54 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 75 × 18 = 1350,
49/75 = 49 × 18/75 × 18 = 882/1350 - Likewise, for the 2nd fraction, since 54 × 25 = 1350,
20/54 = 20 × 25/54 × 25 = 500/1350 - Add the two like fractions:
882/1350 + 500/1350 = 882 + 500/1350 = 1382/1350 - 1382/1350 simplified gives 691/675
- So, 49/75 + 20/54 = 691/675
In mixed form: 116/675
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