Add 48/54 and 30/75
48/54 + 30/75 is 58/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 75 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 54 × 25 = 1350,
48/54 = 48 × 25/54 × 25 = 1200/1350 - Likewise, for the 2nd fraction, since 75 × 18 = 1350,
30/75 = 30 × 18/75 × 18 = 540/1350 - Add the two like fractions:
1200/1350 + 540/1350 = 1200 + 540/1350 = 1740/1350 - 1740/1350 simplified gives 58/45
- So, 48/54 + 30/75 = 58/45
In mixed form: 113/45
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