Add 75/12 and 42/45
1st number: 6 3/12, 2nd number: 42/45
75/12 + 42/45 is 431/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 12 × 15 = 180,
75/12 = 75 × 15/12 × 15 = 1125/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
42/45 = 42 × 4/45 × 4 = 168/180 - Add the two like fractions:
1125/180 + 168/180 = 1125 + 168/180 = 1293/180 - 1293/180 simplified gives 431/60
- So, 75/12 + 42/45 = 431/60
In mixed form: 711/60
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