Add 45/84 and 48/90
45/84 + 48/90 is 449/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 90 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
45/84 = 45 × 15/84 × 15 = 675/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
48/90 = 48 × 14/90 × 14 = 672/1260 - Add the two like fractions:
675/1260 + 672/1260 = 675 + 672/1260 = 1347/1260 - 1347/1260 simplified gives 449/420
- So, 45/84 + 48/90 = 449/420
In mixed form: 129/420
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