Add 75/84 and 70/30
1st number: 75/84, 2nd number: 2 10/30
75/84 + 70/30 is 271/84.
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,
70/30 = 70 × 14/30 × 14 = 980/420 - Add the two like fractions:
375/420 + 980/420 = 375 + 980/420 = 1355/420 - 1355/420 simplified gives 271/84
- So, 75/84 + 70/30 = 271/84
In mixed form: 319/84
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