Add 3/84 and 40/75
3/84 + 40/75 is 239/420.
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,
3/84 = 3 × 25/84 × 25 = 75/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
40/75 = 40 × 28/75 × 28 = 1120/2100 - Add the two like fractions:
75/2100 + 1120/2100 = 75 + 1120/2100 = 1195/2100 - 1195/2100 simplified gives 239/420
- So, 3/84 + 40/75 = 239/420
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