Add 75/10 and 21/98
1st number: 7 5/10, 2nd number: 21/98
75/10 + 21/98 is 54/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 98 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 10 × 49 = 490,
75/10 = 75 × 49/10 × 49 = 3675/490 - Likewise, for the 2nd fraction, since 98 × 5 = 490,
21/98 = 21 × 5/98 × 5 = 105/490 - Add the two like fractions:
3675/490 + 105/490 = 3675 + 105/490 = 3780/490 - 3780/490 simplified gives 54/7
- So, 75/10 + 21/98 = 54/7
In mixed form: 75/7
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