Add 48/90 and 40/84
48/90 + 40/84 is 106/105.
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,
48/90 = 48 × 14/90 × 14 = 672/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
40/84 = 40 × 15/84 × 15 = 600/1260 - Add the two like fractions:
672/1260 + 600/1260 = 672 + 600/1260 = 1272/1260 - 1272/1260 simplified gives 106/105
- So, 48/90 + 40/84 = 106/105
In mixed form: 11/105
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