Add 10/75 and 40/72
10/75 + 40/72 is 31/45.
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,
10/75 = 10 × 24/75 × 24 = 240/1800 - Likewise, for the 2nd fraction, since 72 × 25 = 1800,
40/72 = 40 × 25/72 × 25 = 1000/1800 - Add the two like fractions:
240/1800 + 1000/1800 = 240 + 1000/1800 = 1240/1800 - 1240/1800 simplified gives 31/45
- So, 10/75 + 40/72 = 31/45
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