Add 30/56 and 42/75
30/56 + 42/75 is 767/700.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 75 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 56 × 75 = 4200,
30/56 = 30 × 75/56 × 75 = 2250/4200 - Likewise, for the 2nd fraction, since 75 × 56 = 4200,
42/75 = 42 × 56/75 × 56 = 2352/4200 - Add the two like fractions:
2250/4200 + 2352/4200 = 2250 + 2352/4200 = 4602/4200 - 4602/4200 simplified gives 767/700
- So, 30/56 + 42/75 = 767/700
In mixed form: 167/700
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