Add 75/45 and 20/49
1st number: 1 30/45, 2nd number: 20/49
75/45 + 20/49 is 305/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 49 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 45 × 49 = 2205,
75/45 = 75 × 49/45 × 49 = 3675/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
20/49 = 20 × 45/49 × 45 = 900/2205 - Add the two like fractions:
3675/2205 + 900/2205 = 3675 + 900/2205 = 4575/2205 - 4575/2205 simplified gives 305/147
- So, 75/45 + 20/49 = 305/147
In mixed form: 211/147
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