Add 21/8 and 40/75
1st number: 2 5/8, 2nd number: 40/75
21/8 + 40/75 is 379/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 8 × 75 = 600,
21/8 = 21 × 75/8 × 75 = 1575/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
40/75 = 40 × 8/75 × 8 = 320/600 - Add the two like fractions:
1575/600 + 320/600 = 1575 + 320/600 = 1895/600 - 1895/600 simplified gives 379/120
- So, 21/8 + 40/75 = 379/120
In mixed form: 319/120
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