Add 10/75 and 42/54
10/75 + 42/54 is 41/45.
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,
10/75 = 10 × 18/75 × 18 = 180/1350 - Likewise, for the 2nd fraction, since 54 × 25 = 1350,
42/54 = 42 × 25/54 × 25 = 1050/1350 - Add the two like fractions:
180/1350 + 1050/1350 = 180 + 1050/1350 = 1230/1350 - 1230/1350 simplified gives 41/45
- So, 10/75 + 42/54 = 41/45
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