Add 40/35 and 49/84
1st number: 1 5/35, 2nd number: 49/84
40/35 + 49/84 is 145/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
40/35 = 40 × 12/35 × 12 = 480/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
49/84 = 49 × 5/84 × 5 = 245/420 - Add the two like fractions:
480/420 + 245/420 = 480 + 245/420 = 725/420 - 725/420 simplified gives 145/84
- So, 40/35 + 49/84 = 145/84
In mixed form: 161/84
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