Add 30/7 and 42/45
1st number: 4 2/7, 2nd number: 42/45
30/7 + 42/45 is 548/105.
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,
42/45 = 42 × 7/45 × 7 = 294/315 - Add the two like fractions:
1350/315 + 294/315 = 1350 + 294/315 = 1644/315 - 1644/315 simplified gives 548/105
- So, 30/7 + 42/45 = 548/105
In mixed form: 523/105
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