Add 15/42 and 40/45
15/42 + 40/45 is 157/126.
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,
15/42 = 15 × 15/42 × 15 = 225/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
40/45 = 40 × 14/45 × 14 = 560/630 - Add the two like fractions:
225/630 + 560/630 = 225 + 560/630 = 785/630 - 785/630 simplified gives 157/126
- So, 15/42 + 40/45 = 157/126
In mixed form: 131/126
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