Add 40/30 and 54/28
1st number: 1 10/30, 2nd number: 1 26/28
40/30 + 54/28 is 137/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
40/30 = 40 × 14/30 × 14 = 560/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
54/28 = 54 × 15/28 × 15 = 810/420 - Add the two like fractions:
560/420 + 810/420 = 560 + 810/420 = 1370/420 - 1370/420 simplified gives 137/42
- So, 40/30 + 54/28 = 137/42
In mixed form: 311/42
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