Add 40/84 and 45/49
40/84 + 45/49 is 205/147.
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,
40/84 = 40 × 7/84 × 7 = 280/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
45/49 = 45 × 12/49 × 12 = 540/588 - Add the two like fractions:
280/588 + 540/588 = 280 + 540/588 = 820/588 - 820/588 simplified gives 205/147
- So, 40/84 + 45/49 = 205/147
In mixed form: 158/147
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