Add 75/45 and 1/42
1st number: 1 30/45, 2nd number: 1/42
75/45 + 1/42 is 71/42.
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,
75/45 = 75 × 14/45 × 14 = 1050/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
1/42 = 1 × 15/42 × 15 = 15/630 - Add the two like fractions:
1050/630 + 15/630 = 1050 + 15/630 = 1065/630 - 1065/630 simplified gives 71/42
- So, 75/45 + 1/42 = 71/42
In mixed form: 129/42
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