Add 75/84 and 14/30
75/84 + 14/30 is 571/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
75/84 = 75 × 5/84 × 5 = 375/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
14/30 = 14 × 14/30 × 14 = 196/420 - Add the two like fractions:
375/420 + 196/420 = 375 + 196/420 = 571/420 - So, 75/84 + 14/30 = 571/420
In mixed form: 1151/420
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