Add 20/75 and 35/40
20/75 + 35/40 is 137/120.
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,
20/75 = 20 × 8/75 × 8 = 160/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
35/40 = 35 × 15/40 × 15 = 525/600 - Add the two like fractions:
160/600 + 525/600 = 160 + 525/600 = 685/600 - 685/600 simplified gives 137/120
- So, 20/75 + 35/40 = 137/120
In mixed form: 117/120
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