Add 75/35 and 45/32
1st number: 2 5/35, 2nd number: 1 13/32
75/35 + 45/32 is 795/224.
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,
75/35 = 75 × 32/35 × 32 = 2400/1120 - Likewise, for the 2nd fraction, since 32 × 35 = 1120,
45/32 = 45 × 35/32 × 35 = 1575/1120 - Add the two like fractions:
2400/1120 + 1575/1120 = 2400 + 1575/1120 = 3975/1120 - 3975/1120 simplified gives 795/224
- So, 75/35 + 45/32 = 795/224
In mixed form: 3123/224
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