Add 21/42 and 30/32
21/42 + 30/32 is 23/16.
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,
21/42 = 21 × 16/42 × 16 = 336/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
30/32 = 30 × 21/32 × 21 = 630/672 - Add the two like fractions:
336/672 + 630/672 = 336 + 630/672 = 966/672 - 966/672 simplified gives 23/16
- So, 21/42 + 30/32 = 23/16
In mixed form: 17/16
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