Add 40/75 and 75/8
1st number: 40/75, 2nd number: 9 3/8
40/75 + 75/8 is 1189/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 8 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
40/75 = 40 × 8/75 × 8 = 320/600 - Likewise, for the 2nd fraction, since 8 × 75 = 600,
75/8 = 75 × 75/8 × 75 = 5625/600 - Add the two like fractions:
320/600 + 5625/600 = 320 + 5625/600 = 5945/600 - 5945/600 simplified gives 1189/120
- So, 40/75 + 75/8 = 1189/120
In mixed form: 9109/120
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