Add 40/75 and 63/49, Solve 40/75 + 1 14/49 as a fraction

Add 40/75 and 63/49

1^st number: 40/75, 2^nd number: 1 14/49

40/75 + 63/49 is 191/105.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 49 is 3675

Next, find the equivalent fraction of both fractional numbers with denominator 3675
For the 1st fraction, since 75 × 49 = 3675,
40/75 = 40 × 49/75 × 49 = 1960/3675
Likewise, for the 2nd fraction, since 49 × 75 = 3675,
63/49 = 63 × 75/49 × 75 = 4725/3675
Add the two like fractions:
1960/3675 + 4725/3675 = 1960 + 4725/3675 = 6685/3675
6685/3675 simplified gives 191/105
So, 40/75 + 63/49 = 191/105
In mixed form: 186/105

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