Add 20/42 and 36/45
20/42 + 36/45 is 134/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
20/42 = 20 × 15/42 × 15 = 300/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
36/45 = 36 × 14/45 × 14 = 504/630 - Add the two like fractions:
300/630 + 504/630 = 300 + 504/630 = 804/630 - 804/630 simplified gives 134/105
- So, 20/42 + 36/45 = 134/105
In mixed form: 129/105
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