Add 40/42 and 28/45
40/42 + 28/45 is 496/315.
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,
40/42 = 40 × 15/42 × 15 = 600/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
28/45 = 28 × 14/45 × 14 = 392/630 - Add the two like fractions:
600/630 + 392/630 = 600 + 392/630 = 992/630 - 992/630 simplified gives 496/315
- So, 40/42 + 28/45 = 496/315
In mixed form: 1181/315
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