Add 21/75 and 30/35
21/75 + 30/35 is 199/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 35 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
21/75 = 21 × 7/75 × 7 = 147/525 - Likewise, for the 2nd fraction, since 35 × 15 = 525,
30/35 = 30 × 15/35 × 15 = 450/525 - Add the two like fractions:
147/525 + 450/525 = 147 + 450/525 = 597/525 - 597/525 simplified gives 199/175
- So, 21/75 + 30/35 = 199/175
In mixed form: 124/175
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