Add 35/21 and 21/40
1st number: 1 14/21, 2nd number: 21/40
35/21 + 21/40 is 263/120.
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,
35/21 = 35 × 40/21 × 40 = 1400/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
21/40 = 21 × 21/40 × 21 = 441/840 - Add the two like fractions:
1400/840 + 441/840 = 1400 + 441/840 = 1841/840 - 1841/840 simplified gives 263/120
- So, 35/21 + 21/40 = 263/120
In mixed form: 223/120
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