Add 30/16 and 49/30
1st number: 1 14/16, 2nd number: 1 19/30
30/16 + 49/30 is 421/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 30 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 16 × 15 = 240,
30/16 = 30 × 15/16 × 15 = 450/240 - Likewise, for the 2nd fraction, since 30 × 8 = 240,
49/30 = 49 × 8/30 × 8 = 392/240 - Add the two like fractions:
450/240 + 392/240 = 450 + 392/240 = 842/240 - 842/240 simplified gives 421/120
- So, 30/16 + 49/30 = 421/120
In mixed form: 361/120
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