Add 10/70 and 70/75
10/70 + 70/75 is 113/105.
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,
70/75 = 70 × 14/75 × 14 = 980/1050 - Add the two like fractions:
150/1050 + 980/1050 = 150 + 980/1050 = 1130/1050 - 1130/1050 simplified gives 113/105
- So, 10/70 + 70/75 = 113/105
In mixed form: 18/105
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