Add 30/75 and 21/56
30/75 + 21/56 is 31/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 56 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 75 × 56 = 4200,
30/75 = 30 × 56/75 × 56 = 1680/4200 - Likewise, for the 2nd fraction, since 56 × 75 = 4200,
21/56 = 21 × 75/56 × 75 = 1575/4200 - Add the two like fractions:
1680/4200 + 1575/4200 = 1680 + 1575/4200 = 3255/4200 - 3255/4200 simplified gives 31/40
- So, 30/75 + 21/56 = 31/40
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