Add 40/42 and 49/80
40/42 + 49/80 is 2629/1680.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 80 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 42 × 40 = 1680,
40/42 = 40 × 40/42 × 40 = 1600/1680 - Likewise, for the 2nd fraction, since 80 × 21 = 1680,
49/80 = 49 × 21/80 × 21 = 1029/1680 - Add the two like fractions:
1600/1680 + 1029/1680 = 1600 + 1029/1680 = 2629/1680 - So, 40/42 + 49/80 = 2629/1680
In mixed form: 1949/1680
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