Add 75/8 and 40/35
1st number: 9 3/8, 2nd number: 1 5/35
75/8 + 40/35 is 589/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 35 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 8 × 35 = 280,
75/8 = 75 × 35/8 × 35 = 2625/280 - Likewise, for the 2nd fraction, since 35 × 8 = 280,
40/35 = 40 × 8/35 × 8 = 320/280 - Add the two like fractions:
2625/280 + 320/280 = 2625 + 320/280 = 2945/280 - 2945/280 simplified gives 589/56
- So, 75/8 + 40/35 = 589/56
In mixed form: 1029/56
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