Add 30/21 and 75/40
1st number: 1 9/21, 2nd number: 1 35/40
30/21 + 75/40 is 185/56.
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,
30/21 = 30 × 40/21 × 40 = 1200/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
75/40 = 75 × 21/40 × 21 = 1575/840 - Add the two like fractions:
1200/840 + 1575/840 = 1200 + 1575/840 = 2775/840 - 2775/840 simplified gives 185/56
- So, 30/21 + 75/40 = 185/56
In mixed form: 317/56
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