Add 35/75 and 30/56
35/75 + 30/56 is 421/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 56 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 75 × 56 = 4200,
35/75 = 35 × 56/75 × 56 = 1960/4200 - Likewise, for the 2nd fraction, since 56 × 75 = 4200,
30/56 = 30 × 75/56 × 75 = 2250/4200 - Add the two like fractions:
1960/4200 + 2250/4200 = 1960 + 2250/4200 = 4210/4200 - 4210/4200 simplified gives 421/420
- So, 35/75 + 30/56 = 421/420
In mixed form: 11/420
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