Add 36/30 and 75/84
1st number: 1 6/30, 2nd number: 75/84
36/30 + 75/84 is 293/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
36/30 = 36 × 14/30 × 14 = 504/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
75/84 = 75 × 5/84 × 5 = 375/420 - Add the two like fractions:
504/420 + 375/420 = 504 + 375/420 = 879/420 - 879/420 simplified gives 293/140
- So, 36/30 + 75/84 = 293/140
In mixed form: 213/140
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