Add 75/49 and 18/40
1st number: 1 26/49, 2nd number: 18/40
75/49 + 18/40 is 1941/980.
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,
75/49 = 75 × 40/49 × 40 = 3000/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
18/40 = 18 × 49/40 × 49 = 882/1960 - Add the two like fractions:
3000/1960 + 882/1960 = 3000 + 882/1960 = 3882/1960 - 3882/1960 simplified gives 1941/980
- So, 75/49 + 18/40 = 1941/980
In mixed form: 1961/980
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