Add 28/45 and 49/42, Solve 28/45 + 1 7/42 as a fraction

Add 28/45 and 49/42

1^st number: 28/45, 2^nd number: 1 7/42

28/45 + 49/42 is 161/90.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 42 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 45 × 14 = 630,
28/45 = 28 × 14/45 × 14 = 392/630
Likewise, for the 2nd fraction, since 42 × 15 = 630,
49/42 = 49 × 15/42 × 15 = 735/630
Add the two like fractions:
392/630 + 735/630 = 392 + 735/630 = 1127/630
1127/630 simplified gives 161/90
So, 28/45 + 49/42 = 161/90
In mixed form: 171/90

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