Add 42/90 and 45/84
42/90 + 45/84 is 421/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 90 × 14 = 1260,
42/90 = 42 × 14/90 × 14 = 588/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
45/84 = 45 × 15/84 × 15 = 675/1260 - Add the two like fractions:
588/1260 + 675/1260 = 588 + 675/1260 = 1263/1260 - 1263/1260 simplified gives 421/420
- So, 42/90 + 45/84 = 421/420
In mixed form: 11/420
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