Add 49/21 and 40/45
1st number: 2 7/21, 2nd number: 40/45
49/21 + 40/45 is 29/9.
Steps for adding fractions
- 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,
40/45 = 40 × 7/45 × 7 = 280/315 - Add the two like fractions:
735/315 + 280/315 = 735 + 280/315 = 1015/315 - 1015/315 simplified gives 29/9
- So, 49/21 + 40/45 = 29/9
In mixed form: 32/9
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