Add 40/75 and 42/84
40/75 + 42/84 is 31/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 84 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 84 × 25 = 2100,
42/84 = 42 × 25/84 × 25 = 1050/2100 - Add the two like fractions:
1120/2100 + 1050/2100 = 1120 + 1050/2100 = 2170/2100 - 2170/2100 simplified gives 31/30
- So, 40/75 + 42/84 = 31/30
In mixed form: 11/30
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