Add 7/40 and 12/35
7/40 + 12/35 is 29/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 35 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
7/40 = 7 × 7/40 × 7 = 49/280 - Likewise, for the 2nd fraction, since 35 × 8 = 280,
12/35 = 12 × 8/35 × 8 = 96/280 - Add the two like fractions:
49/280 + 96/280 = 49 + 96/280 = 145/280 - 145/280 simplified gives 29/56
- So, 7/40 + 12/35 = 29/56
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