Add 21/45 and 45/16, Solve 21/45 + 2 13/16 as a fraction

Add 21/45 and 45/16

1^st number: 21/45, 2^nd number: 2 13/16

21/45 + 45/16 is 787/240.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 16 is 720

Next, find the equivalent fraction of both fractional numbers with denominator 720
For the 1st fraction, since 45 × 16 = 720,
21/45 = 21 × 16/45 × 16 = 336/720
Likewise, for the 2nd fraction, since 16 × 45 = 720,
45/16 = 45 × 45/16 × 45 = 2025/720
Add the two like fractions:
336/720 + 2025/720 = 336 + 2025/720 = 2361/720
2361/720 simplified gives 787/240
So, 21/45 + 45/16 = 787/240
In mixed form: 367/240

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