Add 75/45 and 14/35
1st number: 1 30/45, 2nd number: 14/35
75/45 + 14/35 is 31/15.
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,
75/45 = 75 × 7/45 × 7 = 525/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
14/35 = 14 × 9/35 × 9 = 126/315 - Add the two like fractions:
525/315 + 126/315 = 525 + 126/315 = 651/315 - 651/315 simplified gives 31/15
- So, 75/45 + 14/35 = 31/15
In mixed form: 21/15
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