Add 14/45 and 40/42
14/45 + 40/42 is 398/315.
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,
14/45 = 14 × 14/45 × 14 = 196/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
40/42 = 40 × 15/42 × 15 = 600/630 - Add the two like fractions:
196/630 + 600/630 = 196 + 600/630 = 796/630 - 796/630 simplified gives 398/315
- So, 14/45 + 40/42 = 398/315
In mixed form: 183/315
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