Add 28/45 and 14/35
28/45 + 14/35 is 46/45.
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,
28/45 = 28 × 7/45 × 7 = 196/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
14/35 = 14 × 9/35 × 9 = 126/315 - Add the two like fractions:
196/315 + 126/315 = 196 + 126/315 = 322/315 - 322/315 simplified gives 46/45
- So, 28/45 + 14/35 = 46/45
In mixed form: 11/45
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