Add 21/7 and 14/45
1st number: 3 0/7, 2nd number: 14/45
21/7 + 14/45 is 149/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 7 × 45 = 315,
21/7 = 21 × 45/7 × 45 = 945/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
14/45 = 14 × 7/45 × 7 = 98/315 - Add the two like fractions:
945/315 + 98/315 = 945 + 98/315 = 1043/315 - 1043/315 simplified gives 149/45
- So, 21/7 + 14/45 = 149/45
In mixed form: 314/45
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