Add 21/45 and 98/35
1st number: 21/45, 2nd number: 2 28/35
21/45 + 98/35 is 49/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
21/45 = 21 × 7/45 × 7 = 147/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
98/35 = 98 × 9/35 × 9 = 882/315 - Add the two like fractions:
147/315 + 882/315 = 147 + 882/315 = 1029/315 - 1029/315 simplified gives 49/15
- So, 21/45 + 98/35 = 49/15
In mixed form: 34/15
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