Add 30/45 and 45/28, Solve 30/45 + 1 17/28 as a fraction

Add 30/45 and 45/28

1^st number: 30/45, 2^nd number: 1 17/28

30/45 + 45/28 is 191/84.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 28 is 1260

Next, find the equivalent fraction of both fractional numbers with denominator 1260
For the 1st fraction, since 45 × 28 = 1260,
30/45 = 30 × 28/45 × 28 = 840/1260
Likewise, for the 2nd fraction, since 28 × 45 = 1260,
45/28 = 45 × 45/28 × 45 = 2025/1260
Add the two like fractions:
840/1260 + 2025/1260 = 840 + 2025/1260 = 2865/1260
2865/1260 simplified gives 191/84
So, 30/45 + 45/28 = 191/84
In mixed form: 223/84

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