Add 49/15 and 75/54
1st number: 3 4/15, 2nd number: 1 21/54
49/15 + 75/54 is 419/90.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 15 × 18 = 270,
49/15 = 49 × 18/15 × 18 = 882/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
75/54 = 75 × 5/54 × 5 = 375/270 - Add the two like fractions:
882/270 + 375/270 = 882 + 375/270 = 1257/270 - 1257/270 simplified gives 419/90
- So, 49/15 + 75/54 = 419/90
In mixed form: 459/90
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