Add 84/90 and 40/84
84/90 + 40/84 is 148/105.
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,
84/90 = 84 × 14/90 × 14 = 1176/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
40/84 = 40 × 15/84 × 15 = 600/1260 - Add the two like fractions:
1176/1260 + 600/1260 = 1176 + 600/1260 = 1776/1260 - 1776/1260 simplified gives 148/105
- So, 84/90 + 40/84 = 148/105
In mixed form: 143/105
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