Add 27/40 and 70/75
27/40 + 70/75 is 193/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 40 × 15 = 600,
27/40 = 27 × 15/40 × 15 = 405/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
70/75 = 70 × 8/75 × 8 = 560/600 - Add the two like fractions:
405/600 + 560/600 = 405 + 560/600 = 965/600 - 965/600 simplified gives 193/120
- So, 27/40 + 70/75 = 193/120
In mixed form: 173/120
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