Add 30/49 and 35/40
30/49 + 35/40 is 583/392.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
30/49 = 30 × 40/49 × 40 = 1200/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
35/40 = 35 × 49/40 × 49 = 1715/1960 - Add the two like fractions:
1200/1960 + 1715/1960 = 1200 + 1715/1960 = 2915/1960 - 2915/1960 simplified gives 583/392
- So, 30/49 + 35/40 = 583/392
In mixed form: 1191/392
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