Add 75/98 and 54/40
1st number: 75/98, 2nd number: 1 14/40
75/98 + 54/40 is 2073/980.
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,
75/98 = 75 × 20/98 × 20 = 1500/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
54/40 = 54 × 49/40 × 49 = 2646/1960 - Add the two like fractions:
1500/1960 + 2646/1960 = 1500 + 2646/1960 = 4146/1960 - 4146/1960 simplified gives 2073/980
- So, 75/98 + 54/40 = 2073/980
In mixed form: 2113/980
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