Add 2/40 and 75/7, Solve 2/40 + 10 5/7 as a fraction

Add 2/40 and 75/7

1^st number: 2/40, 2^nd number: 10 5/7

2/40 + 75/7 is 1507/140.

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 7 is 280

Next, find the equivalent fraction of both fractional numbers with denominator 280
For the 1st fraction, since 40 × 7 = 280,
2/40 = 2 × 7/40 × 7 = 14/280
Likewise, for the 2nd fraction, since 7 × 40 = 280,
75/7 = 75 × 40/7 × 40 = 3000/280
Add the two like fractions:
14/280 + 3000/280 = 14 + 3000/280 = 3014/280
3014/280 simplified gives 1507/140
So, 2/40 + 75/7 = 1507/140
In mixed form: 10107/140

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