Add 75/80 and 40/42
75/80 + 40/42 is 635/336.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 42 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 80 × 21 = 1680,
75/80 = 75 × 21/80 × 21 = 1575/1680 - Likewise, for the 2nd fraction, since 42 × 40 = 1680,
40/42 = 40 × 40/42 × 40 = 1600/1680 - Add the two like fractions:
1575/1680 + 1600/1680 = 1575 + 1600/1680 = 3175/1680 - 3175/1680 simplified gives 635/336
- So, 75/80 + 40/42 = 635/336
In mixed form: 1299/336
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