Add 36/45 and 32/42
36/45 + 32/42 is 164/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 42 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
36/45 = 36 × 14/45 × 14 = 504/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
32/42 = 32 × 15/42 × 15 = 480/630 - Add the two like fractions:
504/630 + 480/630 = 504 + 480/630 = 984/630 - 984/630 simplified gives 164/105
- So, 36/45 + 32/42 = 164/105
In mixed form: 159/105
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