Add 30/35 and 30/49
30/35 + 30/49 is 72/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 35 × 7 = 245,
30/35 = 30 × 7/35 × 7 = 210/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
30/49 = 30 × 5/49 × 5 = 150/245 - Add the two like fractions:
210/245 + 150/245 = 210 + 150/245 = 360/245 - 360/245 simplified gives 72/49
- So, 30/35 + 30/49 = 72/49
In mixed form: 123/49
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