Add 7/30 and 40/49
7/30 + 40/49 is 1543/1470.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
7/30 = 7 × 49/30 × 49 = 343/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
40/49 = 40 × 30/49 × 30 = 1200/1470 - Add the two like fractions:
343/1470 + 1200/1470 = 343 + 1200/1470 = 1543/1470 - So, 7/30 + 40/49 = 1543/1470
In mixed form: 173/1470
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