Add 30/45 and 45/7
1st number: 30/45, 2nd number: 6 3/7
30/45 + 45/7 is 149/21.
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,
45/7 = 45 × 45/7 × 45 = 2025/315 - Add the two like fractions:
210/315 + 2025/315 = 210 + 2025/315 = 2235/315 - 2235/315 simplified gives 149/21
- So, 30/45 + 45/7 = 149/21
In mixed form: 72/21
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