Add 90/98 and 42/40
1st number: 90/98, 2nd number: 1 2/40
90/98 + 42/40 is 1929/980.
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,
90/98 = 90 × 20/98 × 20 = 1800/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
42/40 = 42 × 49/40 × 49 = 2058/1960 - Add the two like fractions:
1800/1960 + 2058/1960 = 1800 + 2058/1960 = 3858/1960 - 3858/1960 simplified gives 1929/980
- So, 90/98 + 42/40 = 1929/980
In mixed form: 1949/980
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