Add 75/28 and 12/45
1st number: 2 19/28, 2nd number: 12/45
75/28 + 12/45 is 1237/420.
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,
75/28 = 75 × 45/28 × 45 = 3375/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
12/45 = 12 × 28/45 × 28 = 336/1260 - Add the two like fractions:
3375/1260 + 336/1260 = 3375 + 336/1260 = 3711/1260 - 3711/1260 simplified gives 1237/420
- So, 75/28 + 12/45 = 1237/420
In mixed form: 2397/420
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