Add 8/35 and 30/32
8/35 + 30/32 is 653/560.
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,
8/35 = 8 × 32/35 × 32 = 256/1120 - Likewise, for the 2nd fraction, since 32 × 35 = 1120,
30/32 = 30 × 35/32 × 35 = 1050/1120 - Add the two like fractions:
256/1120 + 1050/1120 = 256 + 1050/1120 = 1306/1120 - 1306/1120 simplified gives 653/560
- So, 8/35 + 30/32 = 653/560
In mixed form: 193/560
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