Add 35/28 and 75/45
1st number: 1 7/28, 2nd number: 1 30/45
35/28 + 75/45 is 35/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 28 × 45 = 1260,
35/28 = 35 × 45/28 × 45 = 1575/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
75/45 = 75 × 28/45 × 28 = 2100/1260 - Add the two like fractions:
1575/1260 + 2100/1260 = 1575 + 2100/1260 = 3675/1260 - 3675/1260 simplified gives 35/12
- So, 35/28 + 75/45 = 35/12
In mixed form: 211/12
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