Add 3/84 and 42/45
3/84 + 42/45 is 407/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
3/84 = 3 × 15/84 × 15 = 45/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
42/45 = 42 × 28/45 × 28 = 1176/1260 - Add the two like fractions:
45/1260 + 1176/1260 = 45 + 1176/1260 = 1221/1260 - 1221/1260 simplified gives 407/420
- So, 3/84 + 42/45 = 407/420
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