Add 30/7 and 30/45
1st number: 4 2/7, 2nd number: 30/45
30/7 + 30/45 is 104/21.
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,
30/7 = 30 × 45/7 × 45 = 1350/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
30/45 = 30 × 7/45 × 7 = 210/315 - Add the two like fractions:
1350/315 + 210/315 = 1350 + 210/315 = 1560/315 - 1560/315 simplified gives 104/21
- So, 30/7 + 30/45 = 104/21
In mixed form: 420/21
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