Add 36/42 and 48/49
36/42 + 48/49 is 90/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
36/42 = 36 × 7/42 × 7 = 252/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
48/49 = 48 × 6/49 × 6 = 288/294 - Add the two like fractions:
252/294 + 288/294 = 252 + 288/294 = 540/294 - 540/294 simplified gives 90/49
- So, 36/42 + 48/49 = 90/49
In mixed form: 141/49
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