Add 75/42 and 56/49, Solve 1 33/42 + 1 7/49 as a fraction

Add 75/42 and 56/49

1^st number: 1 33/42, 2^nd number: 1 7/49

75/42 + 56/49 is 41/14.

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,
75/42 = 75 × 7/42 × 7 = 525/294
Likewise, for the 2nd fraction, since 49 × 6 = 294,
56/49 = 56 × 6/49 × 6 = 336/294
Add the two like fractions:
525/294 + 336/294 = 525 + 336/294 = 861/294
861/294 simplified gives 41/14
So, 75/42 + 56/49 = 41/14
In mixed form: 213/14

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