Add 75/8 and 21/30
1st number: 9 3/8, 2nd number: 21/30
75/8 + 21/30 is 403/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 30 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 8 × 15 = 120,
75/8 = 75 × 15/8 × 15 = 1125/120 - Likewise, for the 2nd fraction, since 30 × 4 = 120,
21/30 = 21 × 4/30 × 4 = 84/120 - Add the two like fractions:
1125/120 + 84/120 = 1125 + 84/120 = 1209/120 - 1209/120 simplified gives 403/40
- So, 75/8 + 21/30 = 403/40
In mixed form: 103/40
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