Add 40/49 and 30/90
40/49 + 30/90 is 169/147.
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,
40/49 = 40 × 90/49 × 90 = 3600/4410 - Likewise, for the 2nd fraction, since 90 × 49 = 4410,
30/90 = 30 × 49/90 × 49 = 1470/4410 - Add the two like fractions:
3600/4410 + 1470/4410 = 3600 + 1470/4410 = 5070/4410 - 5070/4410 simplified gives 169/147
- So, 40/49 + 30/90 = 169/147
In mixed form: 122/147
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