Add 84/40 and 49/42
1st number: 2 4/40, 2nd number: 1 7/42
84/40 + 49/42 is 49/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 42 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
84/40 = 84 × 21/40 × 21 = 1764/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
49/42 = 49 × 20/42 × 20 = 980/840 - Add the two like fractions:
1764/840 + 980/840 = 1764 + 980/840 = 2744/840 - 2744/840 simplified gives 49/15
- So, 84/40 + 49/42 = 49/15
In mixed form: 34/15
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