Add 40/84 and 54/70
40/84 + 54/70 is 131/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 70 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Likewise, for the 2nd fraction, since 70 × 6 = 420,
54/70 = 54 × 6/70 × 6 = 324/420 - Add the two like fractions:
200/420 + 324/420 = 200 + 324/420 = 524/420 - 524/420 simplified gives 131/105
- So, 40/84 + 54/70 = 131/105
In mixed form: 126/105
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