Add 40/70 and 80/75
1st number: 40/70, 2nd number: 1 5/75
40/70 + 80/75 is 172/105.
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,
40/70 = 40 × 15/70 × 15 = 600/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
80/75 = 80 × 14/75 × 14 = 1120/1050 - Add the two like fractions:
600/1050 + 1120/1050 = 600 + 1120/1050 = 1720/1050 - 1720/1050 simplified gives 172/105
- So, 40/70 + 80/75 = 172/105
In mixed form: 167/105
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