Add 30/21 and 48/45
1st number: 1 9/21, 2nd number: 1 3/45
30/21 + 48/45 is 262/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
30/21 = 30 × 15/21 × 15 = 450/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
48/45 = 48 × 7/45 × 7 = 336/315 - Add the two like fractions:
450/315 + 336/315 = 450 + 336/315 = 786/315 - 786/315 simplified gives 262/105
- So, 30/21 + 48/45 = 262/105
In mixed form: 252/105
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