Add 45/8 and 24/30
1st number: 5 5/8, 2nd number: 24/30
45/8 + 24/30 is 257/40.
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,
24/30 = 24 × 4/30 × 4 = 96/120 - Add the two like fractions:
675/120 + 96/120 = 675 + 96/120 = 771/120 - 771/120 simplified gives 257/40
- So, 45/8 + 24/30 = 257/40
In mixed form: 617/40
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