Add 12/49 and 30/40
12/49 + 30/40 is 195/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
12/49 = 12 × 40/49 × 40 = 480/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
30/40 = 30 × 49/40 × 49 = 1470/1960 - Add the two like fractions:
480/1960 + 1470/1960 = 480 + 1470/1960 = 1950/1960 - 1950/1960 simplified gives 195/196
- So, 12/49 + 30/40 = 195/196
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