Add 30/75 and 9/16
30/75 + 9/16 is 77/80.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
30/75 = 30 × 16/75 × 16 = 480/1200 - Likewise, for the 2nd fraction, since 16 × 75 = 1200,
9/16 = 9 × 75/16 × 75 = 675/1200 - Add the two like fractions:
480/1200 + 675/1200 = 480 + 675/1200 = 1155/1200 - 1155/1200 simplified gives 77/80
- So, 30/75 + 9/16 = 77/80
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