Add 35/14 and 45/40
1st number: 2 7/14, 2nd number: 1 5/40
35/14 + 45/40 is 29/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
35/14 = 35 × 20/14 × 20 = 700/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
45/40 = 45 × 7/40 × 7 = 315/280 - Add the two like fractions:
700/280 + 315/280 = 700 + 315/280 = 1015/280 - 1015/280 simplified gives 29/8
- So, 35/14 + 45/40 = 29/8
In mixed form: 35/8
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