Add 40/7 and 12/45
1st number: 5 5/7, 2nd number: 12/45
40/7 + 12/45 is 628/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 7 × 45 = 315,
40/7 = 40 × 45/7 × 45 = 1800/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
12/45 = 12 × 7/45 × 7 = 84/315 - Add the two like fractions:
1800/315 + 84/315 = 1800 + 84/315 = 1884/315 - 1884/315 simplified gives 628/105
- So, 40/7 + 12/45 = 628/105
In mixed form: 5103/105
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