Add 30/42 and 24/32
30/42 + 24/32 is 41/28.
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,
30/42 = 30 × 16/42 × 16 = 480/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
24/32 = 24 × 21/32 × 21 = 504/672 - Add the two like fractions:
480/672 + 504/672 = 480 + 504/672 = 984/672 - 984/672 simplified gives 41/28
- So, 30/42 + 24/32 = 41/28
In mixed form: 113/28
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