Add 32/28 and 75/45
1st number: 1 4/28, 2nd number: 1 30/45
32/28 + 75/45 is 59/21.
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,
32/28 = 32 × 45/28 × 45 = 1440/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
75/45 = 75 × 28/45 × 28 = 2100/1260 - Add the two like fractions:
1440/1260 + 2100/1260 = 1440 + 2100/1260 = 3540/1260 - 3540/1260 simplified gives 59/21
- So, 32/28 + 75/45 = 59/21
In mixed form: 217/21
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