Add 30/48 and 49/45, Solve 30/48 + 1 4/45 as a fraction

Add 30/48 and 49/45

1^st number: 30/48, 2^nd number: 1 4/45

30/48 + 49/45 is 617/360.

Find the least common denominator or LCM of the two denominators:
LCM of 48 and 45 is 720

Next, find the equivalent fraction of both fractional numbers with denominator 720
For the 1st fraction, since 48 × 15 = 720,
30/48 = 30 × 15/48 × 15 = 450/720
Likewise, for the 2nd fraction, since 45 × 16 = 720,
49/45 = 49 × 16/45 × 16 = 784/720
Add the two like fractions:
450/720 + 784/720 = 450 + 784/720 = 1234/720
1234/720 simplified gives 617/360
So, 30/48 + 49/45 = 617/360
In mixed form: 1257/360

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