Add 32/40 and 10/42
32/40 + 10/42 is 109/105.
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,
32/40 = 32 × 21/40 × 21 = 672/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
10/42 = 10 × 20/42 × 20 = 200/840 - Add the two like fractions:
672/840 + 200/840 = 672 + 200/840 = 872/840 - 872/840 simplified gives 109/105
- So, 32/40 + 10/42 = 109/105
In mixed form: 14/105
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