Add 14/21 and 35/40
14/21 + 35/40 is 37/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 21 × 40 = 840,
14/21 = 14 × 40/21 × 40 = 560/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
35/40 = 35 × 21/40 × 21 = 735/840 - Add the two like fractions:
560/840 + 735/840 = 560 + 735/840 = 1295/840 - 1295/840 simplified gives 37/24
- So, 14/21 + 35/40 = 37/24
In mixed form: 113/24
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