Add 49/21 and 21/45, Solve 2 7/21 + 21/45 as a fraction

Add 49/21 and 21/45

1^st number: 2 7/21, 2^nd number: 21/45

49/21 + 21/45 is 14/5.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 21 × 15 = 315,
49/21 = 49 × 15/21 × 15 = 735/315
Likewise, for the 2nd fraction, since 45 × 7 = 315,
21/45 = 21 × 7/45 × 7 = 147/315
Add the two like fractions:
735/315 + 147/315 = 735 + 147/315 = 882/315
882/315 simplified gives 14/5
So, 49/21 + 21/45 = 14/5
In mixed form: 24/5

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