Add 49/42 and 75/45
1st number: 1 7/42, 2nd number: 1 30/45
49/42 + 75/45 is 17/6.
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,
49/42 = 49 × 15/42 × 15 = 735/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
75/45 = 75 × 14/45 × 14 = 1050/630 - Add the two like fractions:
735/630 + 1050/630 = 735 + 1050/630 = 1785/630 - 1785/630 simplified gives 17/6
- So, 49/42 + 75/45 = 17/6
In mixed form: 25/6
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