Add 30/8 and 49/45
1st number: 3 6/8, 2nd number: 1 4/45
30/8 + 49/45 is 871/180.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 8 × 45 = 360,
30/8 = 30 × 45/8 × 45 = 1350/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
49/45 = 49 × 8/45 × 8 = 392/360 - Add the two like fractions:
1350/360 + 392/360 = 1350 + 392/360 = 1742/360 - 1742/360 simplified gives 871/180
- So, 30/8 + 49/45 = 871/180
In mixed form: 4151/180
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