Add 27/35 and 21/24
27/35 + 21/24 is 461/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 24 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 35 × 24 = 840,
27/35 = 27 × 24/35 × 24 = 648/840 - Likewise, for the 2nd fraction, since 24 × 35 = 840,
21/24 = 21 × 35/24 × 35 = 735/840 - Add the two like fractions:
648/840 + 735/840 = 648 + 735/840 = 1383/840 - 1383/840 simplified gives 461/280
- So, 27/35 + 21/24 = 461/280
In mixed form: 1181/280
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