Add 30/75 and 9/72
30/75 + 9/72 is 21/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 72 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 75 × 24 = 1800,
30/75 = 30 × 24/75 × 24 = 720/1800 - Likewise, for the 2nd fraction, since 72 × 25 = 1800,
9/72 = 9 × 25/72 × 25 = 225/1800 - Add the two like fractions:
720/1800 + 225/1800 = 720 + 225/1800 = 945/1800 - 945/1800 simplified gives 21/40
- So, 30/75 + 9/72 = 21/40
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