Add 18/75 and 40/49
18/75 + 40/49 is 1294/1225.
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,
18/75 = 18 × 49/75 × 49 = 882/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
40/49 = 40 × 75/49 × 75 = 3000/3675 - Add the two like fractions:
882/3675 + 3000/3675 = 882 + 3000/3675 = 3882/3675 - 3882/3675 simplified gives 1294/1225
- So, 18/75 + 40/49 = 1294/1225
In mixed form: 169/1225
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