Add 40/45 and 14/35
40/45 + 14/35 is 58/45.
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,
40/45 = 40 × 7/45 × 7 = 280/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
14/35 = 14 × 9/35 × 9 = 126/315 - Add the two like fractions:
280/315 + 126/315 = 280 + 126/315 = 406/315 - 406/315 simplified gives 58/45
- So, 40/45 + 14/35 = 58/45
In mixed form: 113/45
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