Add 54/98 and 30/40
54/98 + 30/40 is 255/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 98 × 20 = 1960,
54/98 = 54 × 20/98 × 20 = 1080/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
30/40 = 30 × 49/40 × 49 = 1470/1960 - Add the two like fractions:
1080/1960 + 1470/1960 = 1080 + 1470/1960 = 2550/1960 - 2550/1960 simplified gives 255/196
- So, 54/98 + 30/40 = 255/196
In mixed form: 159/196
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