Add 10/84 and 45/49
10/84 + 45/49 is 305/294.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 84 × 7 = 588,
10/84 = 10 × 7/84 × 7 = 70/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
45/49 = 45 × 12/49 × 12 = 540/588 - Add the two like fractions:
70/588 + 540/588 = 70 + 540/588 = 610/588 - 610/588 simplified gives 305/294
- So, 10/84 + 45/49 = 305/294
In mixed form: 111/294
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