Add 27/32 and 40/70
27/32 + 40/70 is 317/224.
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,
27/32 = 27 × 35/32 × 35 = 945/1120 - Likewise, for the 2nd fraction, since 70 × 16 = 1120,
40/70 = 40 × 16/70 × 16 = 640/1120 - Add the two like fractions:
945/1120 + 640/1120 = 945 + 640/1120 = 1585/1120 - 1585/1120 simplified gives 317/224
- So, 27/32 + 40/70 = 317/224
In mixed form: 193/224
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