Add 1/30 and 75/49, Solve 1/30 + 1 26/49 as a fraction

Add 1/30 and 75/49

1^st number: 1/30, 2^nd number: 1 26/49

1/30 + 75/49 is 2299/1470.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470

Next, find the equivalent fraction of both fractional numbers with denominator 1470
For the 1st fraction, since 30 × 49 = 1470,
1/30 = 1 × 49/30 × 49 = 49/1470
Likewise, for the 2nd fraction, since 49 × 30 = 1470,
75/49 = 75 × 30/49 × 30 = 2250/1470
Add the two like fractions:
49/1470 + 2250/1470 = 49 + 2250/1470 = 2299/1470
So, 1/30 + 75/49 = 2299/1470
In mixed form: 1829/1470

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