Add 7/28 and 40/45
7/28 + 40/45 is 41/36.
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,
7/28 = 7 × 45/28 × 45 = 315/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
40/45 = 40 × 28/45 × 28 = 1120/1260 - Add the two like fractions:
315/1260 + 1120/1260 = 315 + 1120/1260 = 1435/1260 - 1435/1260 simplified gives 41/36
- So, 7/28 + 40/45 = 41/36
In mixed form: 15/36
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