Add 30/35 and 45/8, Solve 30/35 + 5 5/8 as a fraction

Add 30/35 and 45/8

1^st number: 30/35, 2^nd number: 5 5/8

30/35 + 45/8 is 363/56.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 8 is 280

Next, find the equivalent fraction of both fractional numbers with denominator 280
For the 1st fraction, since 35 × 8 = 280,
30/35 = 30 × 8/35 × 8 = 240/280
Likewise, for the 2nd fraction, since 8 × 35 = 280,
45/8 = 45 × 35/8 × 35 = 1575/280
Add the two like fractions:
240/280 + 1575/280 = 240 + 1575/280 = 1815/280
1815/280 simplified gives 363/56
So, 30/35 + 45/8 = 363/56
In mixed form: 627/56

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