Add 10/75 and 40/70
10/75 + 40/70 is 74/105.
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,
10/75 = 10 × 14/75 × 14 = 140/1050 - Likewise, for the 2nd fraction, since 70 × 15 = 1050,
40/70 = 40 × 15/70 × 15 = 600/1050 - Add the two like fractions:
140/1050 + 600/1050 = 140 + 600/1050 = 740/1050 - 740/1050 simplified gives 74/105
- So, 10/75 + 40/70 = 74/105
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