Add 45/50 and 10/84
45/50 + 10/84 is 107/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 50 × 42 = 2100,
45/50 = 45 × 42/50 × 42 = 1890/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
10/84 = 10 × 25/84 × 25 = 250/2100 - Add the two like fractions:
1890/2100 + 250/2100 = 1890 + 250/2100 = 2140/2100 - 2140/2100 simplified gives 107/105
- So, 45/50 + 10/84 = 107/105
In mixed form: 12/105
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