Add 3/42 and 10/45
3/42 + 10/45 is 37/126.
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,
3/42 = 3 × 15/42 × 15 = 45/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
10/45 = 10 × 14/45 × 14 = 140/630 - Add the two like fractions:
45/630 + 140/630 = 45 + 140/630 = 185/630 - 185/630 simplified gives 37/126
- So, 3/42 + 10/45 = 37/126
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