Add 70/84 and 18/45
70/84 + 18/45 is 37/30.
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,
70/84 = 70 × 15/84 × 15 = 1050/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
18/45 = 18 × 28/45 × 28 = 504/1260 - Add the two like fractions:
1050/1260 + 504/1260 = 1050 + 504/1260 = 1554/1260 - 1554/1260 simplified gives 37/30
- So, 70/84 + 18/45 = 37/30
In mixed form: 17/30
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