Add 16/45 and 70/84
16/45 + 70/84 is 107/90.
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,
16/45 = 16 × 28/45 × 28 = 448/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
70/84 = 70 × 15/84 × 15 = 1050/1260 - Add the two like fractions:
448/1260 + 1050/1260 = 448 + 1050/1260 = 1498/1260 - 1498/1260 simplified gives 107/90
- So, 16/45 + 70/84 = 107/90
In mixed form: 117/90
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