Add 30/70 and 40/75
30/70 + 40/75 is 101/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 70 × 15 = 1050,
30/70 = 30 × 15/70 × 15 = 450/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
40/75 = 40 × 14/75 × 14 = 560/1050 - Add the two like fractions:
450/1050 + 560/1050 = 450 + 560/1050 = 1010/1050 - 1010/1050 simplified gives 101/105
- So, 30/70 + 40/75 = 101/105
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