Add 56/84 and 20/45
56/84 + 20/45 is 10/9.
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,
56/84 = 56 × 15/84 × 15 = 840/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
20/45 = 20 × 28/45 × 28 = 560/1260 - Add the two like fractions:
840/1260 + 560/1260 = 840 + 560/1260 = 1400/1260 - 1400/1260 simplified gives 10/9
- So, 56/84 + 20/45 = 10/9
In mixed form: 11/9
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