Add 75/12 and 21/45
1st number: 6 3/12, 2nd number: 21/45
75/12 + 21/45 is 403/60.
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,
21/45 = 21 × 4/45 × 4 = 84/180 - Add the two like fractions:
1125/180 + 84/180 = 1125 + 84/180 = 1209/180 - 1209/180 simplified gives 403/60
- So, 75/12 + 21/45 = 403/60
In mixed form: 643/60
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