Add 3/45 and 75/84
3/45 + 75/84 is 403/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
3/45 = 3 × 28/45 × 28 = 84/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
75/84 = 75 × 15/84 × 15 = 1125/1260 - Add the two like fractions:
84/1260 + 1125/1260 = 84 + 1125/1260 = 1209/1260 - 1209/1260 simplified gives 403/420
- So, 3/45 + 75/84 = 403/420
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