Add 42/84 and 28/45
42/84 + 28/45 is 101/90.
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,
42/84 = 42 × 15/84 × 15 = 630/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
28/45 = 28 × 28/45 × 28 = 784/1260 - Add the two like fractions:
630/1260 + 784/1260 = 630 + 784/1260 = 1414/1260 - 1414/1260 simplified gives 101/90
- So, 42/84 + 28/45 = 101/90
In mixed form: 111/90
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