Add 45/49 and 30/56
45/49 + 30/56 is 285/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 56 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 49 × 8 = 392,
45/49 = 45 × 8/49 × 8 = 360/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
30/56 = 30 × 7/56 × 7 = 210/392 - Add the two like fractions:
360/392 + 210/392 = 360 + 210/392 = 570/392 - 570/392 simplified gives 285/196
- So, 45/49 + 30/56 = 285/196
In mixed form: 189/196
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