Add 40/90 and 70/84
40/90 + 70/84 is 23/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 90 × 14 = 1260,
40/90 = 40 × 14/90 × 14 = 560/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
70/84 = 70 × 15/84 × 15 = 1050/1260 - Add the two like fractions:
560/1260 + 1050/1260 = 560 + 1050/1260 = 1610/1260 - 1610/1260 simplified gives 23/18
- So, 40/90 + 70/84 = 23/18
In mixed form: 15/18
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