Add 2/5 and 32/42
2/5 + 32/42 is 122/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 5 × 42 = 210,
2/5 = 2 × 42/5 × 42 = 84/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
32/42 = 32 × 5/42 × 5 = 160/210 - Add the two like fractions:
84/210 + 160/210 = 84 + 160/210 = 244/210 - 244/210 simplified gives 122/105
- So, 2/5 + 32/42 = 122/105
In mixed form: 117/105
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