Add 35/42 and 32/40
35/42 + 32/40 is 49/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
35/42 = 35 × 20/42 × 20 = 700/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
32/40 = 32 × 21/40 × 21 = 672/840 - Add the two like fractions:
700/840 + 672/840 = 700 + 672/840 = 1372/840 - 1372/840 simplified gives 49/30
- So, 35/42 + 32/40 = 49/30
In mixed form: 119/30
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