Add 30/40 and 45/48
30/40 + 45/48 is 27/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 48 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 40 × 6 = 240,
30/40 = 30 × 6/40 × 6 = 180/240 - Likewise, for the 2nd fraction, since 48 × 5 = 240,
45/48 = 45 × 5/48 × 5 = 225/240 - Add the two like fractions:
180/240 + 225/240 = 180 + 225/240 = 405/240 - 405/240 simplified gives 27/16
- So, 30/40 + 45/48 = 27/16
In mixed form: 111/16
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