Add 40/45 and 21/28
40/45 + 21/28 is 59/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 28 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
40/45 = 40 × 28/45 × 28 = 1120/1260 - Likewise, for the 2nd fraction, since 28 × 45 = 1260,
21/28 = 21 × 45/28 × 45 = 945/1260 - Add the two like fractions:
1120/1260 + 945/1260 = 1120 + 945/1260 = 2065/1260 - 2065/1260 simplified gives 59/36
- So, 40/45 + 21/28 = 59/36
In mixed form: 123/36
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