Add 30/45 and 42/60
30/45 + 42/60 is 41/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 60 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
30/45 = 30 × 4/45 × 4 = 120/180 - Likewise, for the 2nd fraction, since 60 × 3 = 180,
42/60 = 42 × 3/60 × 3 = 126/180 - Add the two like fractions:
120/180 + 126/180 = 120 + 126/180 = 246/180 - 246/180 simplified gives 41/30
- So, 30/45 + 42/60 = 41/30
In mixed form: 111/30
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