Add 30/45 and 21/7
1st number: 30/45, 2nd number: 3 0/7
30/45 + 21/7 is 11/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 7 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
30/45 = 30 × 7/45 × 7 = 210/315 - Likewise, for the 2nd fraction, since 7 × 45 = 315,
21/7 = 21 × 45/7 × 45 = 945/315 - Add the two like fractions:
210/315 + 945/315 = 210 + 945/315 = 1155/315 - 1155/315 simplified gives 11/3
- So, 30/45 + 21/7 = 11/3
In mixed form: 32/3
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