Add 45/75 and 49/54
45/75 + 49/54 is 407/270.
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,
45/75 = 45 × 18/75 × 18 = 810/1350 - Likewise, for the 2nd fraction, since 54 × 25 = 1350,
49/54 = 49 × 25/54 × 25 = 1225/1350 - Add the two like fractions:
810/1350 + 1225/1350 = 810 + 1225/1350 = 2035/1350 - 2035/1350 simplified gives 407/270
- So, 45/75 + 49/54 = 407/270
In mixed form: 1137/270
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