Add 40/45 and 45/84
40/45 + 45/84 is 359/252.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 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 84 × 15 = 1260,
45/84 = 45 × 15/84 × 15 = 675/1260 - Add the two like fractions:
1120/1260 + 675/1260 = 1120 + 675/1260 = 1795/1260 - 1795/1260 simplified gives 359/252
- So, 40/45 + 45/84 = 359/252
In mixed form: 1107/252
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