Add 84/35 and 75/32
1st number: 2 14/35, 2nd number: 2 11/32
84/35 + 75/32 is 759/160.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 32 is 1120
Next, find the equivalent fraction of both fractional numbers with denominator 1120 - For the 1st fraction, since 35 × 32 = 1120,
84/35 = 84 × 32/35 × 32 = 2688/1120 - Likewise, for the 2nd fraction, since 32 × 35 = 1120,
75/32 = 75 × 35/32 × 35 = 2625/1120 - Add the two like fractions:
2688/1120 + 2625/1120 = 2688 + 2625/1120 = 5313/1120 - 5313/1120 simplified gives 759/160
- So, 84/35 + 75/32 = 759/160
In mixed form: 4119/160
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