Add 1/45 and 49/42
1st number: 1/45, 2nd number: 1 7/42
1/45 + 49/42 is 107/90.
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,
1/45 = 1 × 14/45 × 14 = 14/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
49/42 = 49 × 15/42 × 15 = 735/630 - Add the two like fractions:
14/630 + 735/630 = 14 + 735/630 = 749/630 - 749/630 simplified gives 107/90
- So, 1/45 + 49/42 = 107/90
In mixed form: 117/90
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