Add 30/45 and 24/35
30/45 + 24/35 is 142/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 35 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 35 × 9 = 315,
24/35 = 24 × 9/35 × 9 = 216/315 - Add the two like fractions:
210/315 + 216/315 = 210 + 216/315 = 426/315 - 426/315 simplified gives 142/105
- So, 30/45 + 24/35 = 142/105
In mixed form: 137/105
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