Add 30/84 and 21/32
30/84 + 21/32 is 227/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 32 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 84 × 8 = 672,
30/84 = 30 × 8/84 × 8 = 240/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
21/32 = 21 × 21/32 × 21 = 441/672 - Add the two like fractions:
240/672 + 441/672 = 240 + 441/672 = 681/672 - 681/672 simplified gives 227/224
- So, 30/84 + 21/32 = 227/224
In mixed form: 13/224
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