Add 49/75 and 30/70
49/75 + 30/70 is 568/525.
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,
49/75 = 49 × 14/75 × 14 = 686/1050 - Likewise, for the 2nd fraction, since 70 × 15 = 1050,
30/70 = 30 × 15/70 × 15 = 450/1050 - Add the two like fractions:
686/1050 + 450/1050 = 686 + 450/1050 = 1136/1050 - 1136/1050 simplified gives 568/525
- So, 49/75 + 30/70 = 568/525
In mixed form: 143/525
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