Add 4/49 and 30/40
4/49 + 30/40 is 163/196.
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,
4/49 = 4 × 40/49 × 40 = 160/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
30/40 = 30 × 49/40 × 49 = 1470/1960 - Add the two like fractions:
160/1960 + 1470/1960 = 160 + 1470/1960 = 1630/1960 - 1630/1960 simplified gives 163/196
- So, 4/49 + 30/40 = 163/196
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