Add 40/84 and 32/45
40/84 + 32/45 is 374/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
40/84 = 40 × 15/84 × 15 = 600/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
32/45 = 32 × 28/45 × 28 = 896/1260 - Add the two like fractions:
600/1260 + 896/1260 = 600 + 896/1260 = 1496/1260 - 1496/1260 simplified gives 374/315
- So, 40/84 + 32/45 = 374/315
In mixed form: 159/315
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