Add 30/72 and 45/75
30/72 + 45/75 is 61/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 75 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 72 × 25 = 1800,
30/72 = 30 × 25/72 × 25 = 750/1800 - Likewise, for the 2nd fraction, since 75 × 24 = 1800,
45/75 = 45 × 24/75 × 24 = 1080/1800 - Add the two like fractions:
750/1800 + 1080/1800 = 750 + 1080/1800 = 1830/1800 - 1830/1800 simplified gives 61/60
- So, 30/72 + 45/75 = 61/60
In mixed form: 11/60
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