Add 54/70 and 45/75
54/70 + 45/75 is 48/35.
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,
45/75 = 45 × 14/75 × 14 = 630/1050 - Add the two like fractions:
810/1050 + 630/1050 = 810 + 630/1050 = 1440/1050 - 1440/1050 simplified gives 48/35
- So, 54/70 + 45/75 = 48/35
In mixed form: 113/35
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