Add 21/24 and 70/75
21/24 + 70/75 is 217/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 24 × 25 = 600,
21/24 = 21 × 25/24 × 25 = 525/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
70/75 = 70 × 8/75 × 8 = 560/600 - Add the two like fractions:
525/600 + 560/600 = 525 + 560/600 = 1085/600 - 1085/600 simplified gives 217/120
- So, 21/24 + 70/75 = 217/120
In mixed form: 197/120
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