Add 30/75 and 21/70
30/75 + 21/70 is 7/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 70 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
30/75 = 30 × 14/75 × 14 = 420/1050 - Likewise, for the 2nd fraction, since 70 × 15 = 1050,
21/70 = 21 × 15/70 × 15 = 315/1050 - Add the two like fractions:
420/1050 + 315/1050 = 420 + 315/1050 = 735/1050 - 735/1050 simplified gives 7/10
- So, 30/75 + 21/70 = 7/10
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