Add 40/45 and 27/42
40/45 + 27/42 is 193/126.
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,
40/45 = 40 × 14/45 × 14 = 560/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
27/42 = 27 × 15/42 × 15 = 405/630 - Add the two like fractions:
560/630 + 405/630 = 560 + 405/630 = 965/630 - 965/630 simplified gives 193/126
- So, 40/45 + 27/42 = 193/126
In mixed form: 167/126
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