Add 21/24 and 24/45
21/24 + 24/45 is 169/120.
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,
24/45 = 24 × 8/45 × 8 = 192/360 - Add the two like fractions:
315/360 + 192/360 = 315 + 192/360 = 507/360 - 507/360 simplified gives 169/120
- So, 21/24 + 24/45 = 169/120
In mixed form: 149/120
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