Add 14/21 and 30/32
14/21 + 30/32 is 77/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 32 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 21 × 32 = 672,
14/21 = 14 × 32/21 × 32 = 448/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
30/32 = 30 × 21/32 × 21 = 630/672 - Add the two like fractions:
448/672 + 630/672 = 448 + 630/672 = 1078/672 - 1078/672 simplified gives 77/48
- So, 14/21 + 30/32 = 77/48
In mixed form: 129/48
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