Add 10/75 and 70/72
10/75 + 70/72 is 199/180.
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,
10/75 = 10 × 24/75 × 24 = 240/1800 - Likewise, for the 2nd fraction, since 72 × 25 = 1800,
70/72 = 70 × 25/72 × 25 = 1750/1800 - Add the two like fractions:
240/1800 + 1750/1800 = 240 + 1750/1800 = 1990/1800 - 1990/1800 simplified gives 199/180
- So, 10/75 + 70/72 = 199/180
In mixed form: 119/180
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