Add 30/35 and 28/40
30/35 + 28/40 is 109/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
30/35 = 30 × 8/35 × 8 = 240/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
28/40 = 28 × 7/40 × 7 = 196/280 - Add the two like fractions:
240/280 + 196/280 = 240 + 196/280 = 436/280 - 436/280 simplified gives 109/70
- So, 30/35 + 28/40 = 109/70
In mixed form: 139/70
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