Add 49/84 and 24/75
49/84 + 24/75 is 271/300.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
49/84 = 49 × 25/84 × 25 = 1225/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
24/75 = 24 × 28/75 × 28 = 672/2100 - Add the two like fractions:
1225/2100 + 672/2100 = 1225 + 672/2100 = 1897/2100 - 1897/2100 simplified gives 271/300
- So, 49/84 + 24/75 = 271/300
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