Add 27/35 and 40/60
27/35 + 40/60 is 151/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 60 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
27/35 = 27 × 12/35 × 12 = 324/420 - Likewise, for the 2nd fraction, since 60 × 7 = 420,
40/60 = 40 × 7/60 × 7 = 280/420 - Add the two like fractions:
324/420 + 280/420 = 324 + 280/420 = 604/420 - 604/420 simplified gives 151/105
- So, 27/35 + 40/60 = 151/105
In mixed form: 146/105
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