Add 16/35 and 21/40
16/35 + 21/40 is 55/56.
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,
16/35 = 16 × 8/35 × 8 = 128/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
21/40 = 21 × 7/40 × 7 = 147/280 - Add the two like fractions:
128/280 + 147/280 = 128 + 147/280 = 275/280 - 275/280 simplified gives 55/56
- So, 16/35 + 21/40 = 55/56
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