Add 30/48 and 40/75
30/48 + 40/75 is 139/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 75 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 48 × 25 = 1200,
30/48 = 30 × 25/48 × 25 = 750/1200 - Likewise, for the 2nd fraction, since 75 × 16 = 1200,
40/75 = 40 × 16/75 × 16 = 640/1200 - Add the two like fractions:
750/1200 + 640/1200 = 750 + 640/1200 = 1390/1200 - 1390/1200 simplified gives 139/120
- So, 30/48 + 40/75 = 139/120
In mixed form: 119/120
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