Add 40/75 and 42/28
1st number: 40/75, 2nd number: 1 14/28
40/75 + 42/28 is 61/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 28 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
40/75 = 40 × 28/75 × 28 = 1120/2100 - Likewise, for the 2nd fraction, since 28 × 75 = 2100,
42/28 = 42 × 75/28 × 75 = 3150/2100 - Add the two like fractions:
1120/2100 + 3150/2100 = 1120 + 3150/2100 = 4270/2100 - 4270/2100 simplified gives 61/30
- So, 40/75 + 42/28 = 61/30
In mixed form: 21/30
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