Add 40/70 and 75/32
1st number: 40/70, 2nd number: 2 11/32
40/70 + 75/32 is 653/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 32 is 1120
Next, find the equivalent fraction of both fractional numbers with denominator 1120 - For the 1st fraction, since 70 × 16 = 1120,
40/70 = 40 × 16/70 × 16 = 640/1120 - Likewise, for the 2nd fraction, since 32 × 35 = 1120,
75/32 = 75 × 35/32 × 35 = 2625/1120 - Add the two like fractions:
640/1120 + 2625/1120 = 640 + 2625/1120 = 3265/1120 - 3265/1120 simplified gives 653/224
- So, 40/70 + 75/32 = 653/224
In mixed form: 2205/224
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