Add 45/75 and 40/42
45/75 + 40/42 is 163/105.
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,
45/75 = 45 × 14/75 × 14 = 630/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
40/42 = 40 × 25/42 × 25 = 1000/1050 - Add the two like fractions:
630/1050 + 1000/1050 = 630 + 1000/1050 = 1630/1050 - 1630/1050 simplified gives 163/105
- So, 45/75 + 40/42 = 163/105
In mixed form: 158/105
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