Add 75/98 and 18/40
75/98 + 18/40 is 1191/980.
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,
18/40 = 18 × 49/40 × 49 = 882/1960 - Add the two like fractions:
1500/1960 + 882/1960 = 1500 + 882/1960 = 2382/1960 - 2382/1960 simplified gives 1191/980
- So, 75/98 + 18/40 = 1191/980
In mixed form: 1211/980
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