Add 45/8 and 42/30
1st number: 5 5/8, 2nd number: 1 12/30
45/8 + 42/30 is 281/40.
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,
45/8 = 45 × 15/8 × 15 = 675/120 - Likewise, for the 2nd fraction, since 30 × 4 = 120,
42/30 = 42 × 4/30 × 4 = 168/120 - Add the two like fractions:
675/120 + 168/120 = 675 + 168/120 = 843/120 - 843/120 simplified gives 281/40
- So, 45/8 + 42/30 = 281/40
In mixed form: 71/40
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