Add 36/10 and 75/84
1st number: 3 6/10, 2nd number: 75/84
36/10 + 75/84 is 629/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 10 × 42 = 420,
36/10 = 36 × 42/10 × 42 = 1512/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
75/84 = 75 × 5/84 × 5 = 375/420 - Add the two like fractions:
1512/420 + 375/420 = 1512 + 375/420 = 1887/420 - 1887/420 simplified gives 629/140
- So, 36/10 + 75/84 = 629/140
In mixed form: 469/140
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