Add 10/36 and 30/32
10/36 + 30/32 is 175/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 32 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 36 × 8 = 288,
10/36 = 10 × 8/36 × 8 = 80/288 - Likewise, for the 2nd fraction, since 32 × 9 = 288,
30/32 = 30 × 9/32 × 9 = 270/288 - Add the two like fractions:
80/288 + 270/288 = 80 + 270/288 = 350/288 - 350/288 simplified gives 175/144
- So, 10/36 + 30/32 = 175/144
In mixed form: 131/144
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