Add 54/75 and 30/49
54/75 + 30/49 is 1632/1225.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 49 is 3675
Next, find the equivalent fraction of both fractional numbers with denominator 3675 - For the 1st fraction, since 75 × 49 = 3675,
54/75 = 54 × 49/75 × 49 = 2646/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
30/49 = 30 × 75/49 × 75 = 2250/3675 - Add the two like fractions:
2646/3675 + 2250/3675 = 2646 + 2250/3675 = 4896/3675 - 4896/3675 simplified gives 1632/1225
- So, 54/75 + 30/49 = 1632/1225
In mixed form: 1407/1225
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