Add 20/75 and 70/72
20/75 + 70/72 is 223/180.
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,
20/75 = 20 × 24/75 × 24 = 480/1800 - Likewise, for the 2nd fraction, since 72 × 25 = 1800,
70/72 = 70 × 25/72 × 25 = 1750/1800 - Add the two like fractions:
480/1800 + 1750/1800 = 480 + 1750/1800 = 2230/1800 - 2230/1800 simplified gives 223/180
- So, 20/75 + 70/72 = 223/180
In mixed form: 143/180
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