Add 84/30 and 75/32
1st number: 2 24/30, 2nd number: 2 11/32
84/30 + 75/32 is 823/160.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 32 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 30 × 16 = 480,
84/30 = 84 × 16/30 × 16 = 1344/480 - Likewise, for the 2nd fraction, since 32 × 15 = 480,
75/32 = 75 × 15/32 × 15 = 1125/480 - Add the two like fractions:
1344/480 + 1125/480 = 1344 + 1125/480 = 2469/480 - 2469/480 simplified gives 823/160
- So, 84/30 + 75/32 = 823/160
In mixed form: 523/160
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