Add 75/45 and 6/42
1st number: 1 30/45, 2nd number: 6/42
75/45 + 6/42 is 38/21.
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,
6/42 = 6 × 15/42 × 15 = 90/630 - Add the two like fractions:
1050/630 + 90/630 = 1050 + 90/630 = 1140/630 - 1140/630 simplified gives 38/21
- So, 75/45 + 6/42 = 38/21
In mixed form: 117/21
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