Add 75/32 and 84/70
1st number: 2 11/32, 2nd number: 1 14/70
75/32 + 84/70 is 567/160.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 70 is 1120
Next, find the equivalent fraction of both fractional numbers with denominator 1120 - For the 1st fraction, since 32 × 35 = 1120,
75/32 = 75 × 35/32 × 35 = 2625/1120 - Likewise, for the 2nd fraction, since 70 × 16 = 1120,
84/70 = 84 × 16/70 × 16 = 1344/1120 - Add the two like fractions:
2625/1120 + 1344/1120 = 2625 + 1344/1120 = 3969/1120 - 3969/1120 simplified gives 567/160
- So, 75/32 + 84/70 = 567/160
In mixed form: 387/160
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