Add 75/98 and 10/40
75/98 + 10/40 is 199/196.
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,
75/98 = 75 × 20/98 × 20 = 1500/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
10/40 = 10 × 49/40 × 49 = 490/1960 - Add the two like fractions:
1500/1960 + 490/1960 = 1500 + 490/1960 = 1990/1960 - 1990/1960 simplified gives 199/196
- So, 75/98 + 10/40 = 199/196
In mixed form: 13/196
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