Add 60/75 and 32/42
60/75 + 32/42 is 164/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
60/75 = 60 × 14/75 × 14 = 840/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
32/42 = 32 × 25/42 × 25 = 800/1050 - Add the two like fractions:
840/1050 + 800/1050 = 840 + 800/1050 = 1640/1050 - 1640/1050 simplified gives 164/105
- So, 60/75 + 32/42 = 164/105
In mixed form: 159/105
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