Add 40/30 and 75/8
1st number: 1 10/30, 2nd number: 9 3/8
40/30 + 75/8 is 257/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 8 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
40/30 = 40 × 4/30 × 4 = 160/120 - Likewise, for the 2nd fraction, since 8 × 15 = 120,
75/8 = 75 × 15/8 × 15 = 1125/120 - Add the two like fractions:
160/120 + 1125/120 = 160 + 1125/120 = 1285/120 - 1285/120 simplified gives 257/24
- So, 40/30 + 75/8 = 257/24
In mixed form: 1017/24
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