Add 10/75 and 21/40
10/75 + 21/40 is 79/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
10/75 = 10 × 8/75 × 8 = 80/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
21/40 = 21 × 15/40 × 15 = 315/600 - Add the two like fractions:
80/600 + 315/600 = 80 + 315/600 = 395/600 - 395/600 simplified gives 79/120
- So, 10/75 + 21/40 = 79/120
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