Add 30/84 and 35/32
1st number: 30/84, 2nd number: 1 3/32
30/84 + 35/32 is 325/224.
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,
35/32 = 35 × 21/32 × 21 = 735/672 - Add the two like fractions:
240/672 + 735/672 = 240 + 735/672 = 975/672 - 975/672 simplified gives 325/224
- So, 30/84 + 35/32 = 325/224
In mixed form: 1101/224
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