Add 30/40 and 20/49
30/40 + 20/49 is 227/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
30/40 = 30 × 49/40 × 49 = 1470/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
20/49 = 20 × 40/49 × 40 = 800/1960 - Add the two like fractions:
1470/1960 + 800/1960 = 1470 + 800/1960 = 2270/1960 - 2270/1960 simplified gives 227/196
- So, 30/40 + 20/49 = 227/196
In mixed form: 131/196
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