Add 30/48 and 20/42
30/48 + 20/42 is 185/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 42 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 48 × 7 = 336,
30/48 = 30 × 7/48 × 7 = 210/336 - Likewise, for the 2nd fraction, since 42 × 8 = 336,
20/42 = 20 × 8/42 × 8 = 160/336 - Add the two like fractions:
210/336 + 160/336 = 210 + 160/336 = 370/336 - 370/336 simplified gives 185/168
- So, 30/48 + 20/42 = 185/168
In mixed form: 117/168
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