Add 40/45 and 45/28, Solve 40/45 + 1 17/28 as a fraction

Add 40/45 and 45/28

1^st number: 40/45, 2^nd number: 1 17/28

40/45 + 45/28 is 629/252.

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,
40/45 = 40 × 28/45 × 28 = 1120/1260
Likewise, for the 2nd fraction, since 28 × 45 = 1260,
45/28 = 45 × 45/28 × 45 = 2025/1260
Add the two like fractions:
1120/1260 + 2025/1260 = 1120 + 2025/1260 = 3145/1260
3145/1260 simplified gives 629/252
So, 40/45 + 45/28 = 629/252
In mixed form: 2125/252

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