Add 40/75 and 27/70
40/75 + 27/70 is 193/210.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 70 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
40/75 = 40 × 14/75 × 14 = 560/1050 - Likewise, for the 2nd fraction, since 70 × 15 = 1050,
27/70 = 27 × 15/70 × 15 = 405/1050 - Add the two like fractions:
560/1050 + 405/1050 = 560 + 405/1050 = 965/1050 - 965/1050 simplified gives 193/210
- So, 40/75 + 27/70 = 193/210
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