Add 30/84 and 27/32
30/84 + 27/32 is 269/224.
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,
27/32 = 27 × 21/32 × 21 = 567/672 - Add the two like fractions:
240/672 + 567/672 = 240 + 567/672 = 807/672 - 807/672 simplified gives 269/224
- So, 30/84 + 27/32 = 269/224
In mixed form: 145/224
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