Add 21/49 and 75/90
21/49 + 75/90 is 53/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 90 is 4410
Next, find the equivalent fraction of both fractional numbers with denominator 4410 - For the 1st fraction, since 49 × 90 = 4410,
21/49 = 21 × 90/49 × 90 = 1890/4410 - Likewise, for the 2nd fraction, since 90 × 49 = 4410,
75/90 = 75 × 49/90 × 49 = 3675/4410 - Add the two like fractions:
1890/4410 + 3675/4410 = 1890 + 3675/4410 = 5565/4410 - 5565/4410 simplified gives 53/42
- So, 21/49 + 75/90 = 53/42
In mixed form: 111/42
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