Add 30/45 and 21/24
30/45 + 21/24 is 37/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 24 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
30/45 = 30 × 8/45 × 8 = 240/360 - Likewise, for the 2nd fraction, since 24 × 15 = 360,
21/24 = 21 × 15/24 × 15 = 315/360 - Add the two like fractions:
240/360 + 315/360 = 240 + 315/360 = 555/360 - 555/360 simplified gives 37/24
- So, 30/45 + 21/24 = 37/24
In mixed form: 113/24
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