Add 75/8 and 40/30
1st number: 9 3/8, 2nd number: 1 10/30
75/8 + 40/30 is 257/24.
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,
40/30 = 40 × 4/30 × 4 = 160/120 - Add the two like fractions:
1125/120 + 160/120 = 1125 + 160/120 = 1285/120 - 1285/120 simplified gives 257/24
- So, 75/8 + 40/30 = 257/24
In mixed form: 1017/24
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