Add 30/75 and 42/54
30/75 + 42/54 is 53/45.
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,
30/75 = 30 × 18/75 × 18 = 540/1350 - Likewise, for the 2nd fraction, since 54 × 25 = 1350,
42/54 = 42 × 25/54 × 25 = 1050/1350 - Add the two like fractions:
540/1350 + 1050/1350 = 540 + 1050/1350 = 1590/1350 - 1590/1350 simplified gives 53/45
- So, 30/75 + 42/54 = 53/45
In mixed form: 18/45
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