Add 3/42 and 30/32
3/42 + 30/32 is 113/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 32 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 42 × 16 = 672,
3/42 = 3 × 16/42 × 16 = 48/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
30/32 = 30 × 21/32 × 21 = 630/672 - Add the two like fractions:
48/672 + 630/672 = 48 + 630/672 = 678/672 - 678/672 simplified gives 113/112
- So, 3/42 + 30/32 = 113/112
In mixed form: 11/112
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