Add 10/70 and 40/75
10/70 + 40/75 is 71/105.
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,
10/70 = 10 × 15/70 × 15 = 150/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
40/75 = 40 × 14/75 × 14 = 560/1050 - Add the two like fractions:
150/1050 + 560/1050 = 150 + 560/1050 = 710/1050 - 710/1050 simplified gives 71/105
- So, 10/70 + 40/75 = 71/105
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