Add 35/40 and 42/14
1st number: 35/40, 2nd number: 3 0/14
35/40 + 42/14 is 31/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
35/40 = 35 × 7/40 × 7 = 245/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
42/14 = 42 × 20/14 × 20 = 840/280 - Add the two like fractions:
245/280 + 840/280 = 245 + 840/280 = 1085/280 - 1085/280 simplified gives 31/8
- So, 35/40 + 42/14 = 31/8
In mixed form: 37/8
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