Add 54/70 and 35/75
54/70 + 35/75 is 26/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 70 × 15 = 1050,
54/70 = 54 × 15/70 × 15 = 810/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
35/75 = 35 × 14/75 × 14 = 490/1050 - Add the two like fractions:
810/1050 + 490/1050 = 810 + 490/1050 = 1300/1050 - 1300/1050 simplified gives 26/21
- So, 54/70 + 35/75 = 26/21
In mixed form: 15/21
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