Add 75/20 and 21/45
1st number: 3 15/20, 2nd number: 21/45
75/20 + 21/45 is 253/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 20 × 9 = 180,
75/20 = 75 × 9/20 × 9 = 675/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
21/45 = 21 × 4/45 × 4 = 84/180 - Add the two like fractions:
675/180 + 84/180 = 675 + 84/180 = 759/180 - 759/180 simplified gives 253/60
- So, 75/20 + 21/45 = 253/60
In mixed form: 413/60
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