Add 35/20 and 42/21
1st number: 1 15/20, 2nd number: 2 0/21
35/20 + 42/21 is 15/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 21 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
35/20 = 35 × 21/20 × 21 = 735/420 - Likewise, for the 2nd fraction, since 21 × 20 = 420,
42/21 = 42 × 20/21 × 20 = 840/420 - Add the two like fractions:
735/420 + 840/420 = 735 + 840/420 = 1575/420 - 1575/420 simplified gives 15/4
- So, 35/20 + 42/21 = 15/4
In mixed form: 33/4
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