Add 35/40 and 21/35
35/40 + 21/35 is 59/40.
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,
35/40 = 35 × 7/40 × 7 = 245/280 - Likewise, for the 2nd fraction, since 35 × 8 = 280,
21/35 = 21 × 8/35 × 8 = 168/280 - Add the two like fractions:
245/280 + 168/280 = 245 + 168/280 = 413/280 - 413/280 simplified gives 59/40
- So, 35/40 + 21/35 = 59/40
In mixed form: 119/40
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