Add 14/21 and 9/40
14/21 + 9/40 is 107/120.
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,
9/40 = 9 × 21/40 × 21 = 189/840 - Add the two like fractions:
560/840 + 189/840 = 560 + 189/840 = 749/840 - 749/840 simplified gives 107/120
- So, 14/21 + 9/40 = 107/120
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