Add 30/42 and 32/40
30/42 + 32/40 is 53/35.
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,
30/42 = 30 × 20/42 × 20 = 600/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
32/40 = 32 × 21/40 × 21 = 672/840 - Add the two like fractions:
600/840 + 672/840 = 600 + 672/840 = 1272/840 - 1272/840 simplified gives 53/35
- So, 30/42 + 32/40 = 53/35
In mixed form: 118/35
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