Add 20/75 and 54/70
20/75 + 54/70 is 109/105.
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,
20/75 = 20 × 14/75 × 14 = 280/1050 - Likewise, for the 2nd fraction, since 70 × 15 = 1050,
54/70 = 54 × 15/70 × 15 = 810/1050 - Add the two like fractions:
280/1050 + 810/1050 = 280 + 810/1050 = 1090/1050 - 1090/1050 simplified gives 109/105
- So, 20/75 + 54/70 = 109/105
In mixed form: 14/105
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