Add 40/35 and 12/45
1st number: 1 5/35, 2nd number: 12/45
40/35 + 12/45 is 148/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
40/35 = 40 × 9/35 × 9 = 360/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
12/45 = 12 × 7/45 × 7 = 84/315 - Add the two like fractions:
360/315 + 84/315 = 360 + 84/315 = 444/315 - 444/315 simplified gives 148/105
- So, 40/35 + 12/45 = 148/105
In mixed form: 143/105
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