Add 75/10 and 3/49, Solve 7 5/10 + 3/49 as a fraction

Add 75/10 and 3/49

1^st number: 7 5/10, 2^nd number: 3/49

75/10 + 3/49 is 741/98.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 49 is 490

Next, find the equivalent fraction of both fractional numbers with denominator 490
For the 1st fraction, since 10 × 49 = 490,
75/10 = 75 × 49/10 × 49 = 3675/490
Likewise, for the 2nd fraction, since 49 × 10 = 490,
3/49 = 3 × 10/49 × 10 = 30/490
Add the two like fractions:
3675/490 + 30/490 = 3675 + 30/490 = 3705/490
3705/490 simplified gives 741/98
So, 75/10 + 3/49 = 741/98
In mixed form: 755/98

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