Add 21/24 and 12/45
21/24 + 12/45 is 137/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 24 × 15 = 360,
21/24 = 21 × 15/24 × 15 = 315/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
12/45 = 12 × 8/45 × 8 = 96/360 - Add the two like fractions:
315/360 + 96/360 = 315 + 96/360 = 411/360 - 411/360 simplified gives 137/120
- So, 21/24 + 12/45 = 137/120
In mixed form: 117/120
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