Add 3/72 and 20/75
3/72 + 20/75 is 37/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 75 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 72 × 25 = 1800,
3/72 = 3 × 25/72 × 25 = 75/1800 - Likewise, for the 2nd fraction, since 75 × 24 = 1800,
20/75 = 20 × 24/75 × 24 = 480/1800 - Add the two like fractions:
75/1800 + 480/1800 = 75 + 480/1800 = 555/1800 - 555/1800 simplified gives 37/120
- So, 3/72 + 20/75 = 37/120
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