Add 75/90 and 30/84
75/90 + 30/84 is 25/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 90 × 14 = 1260,
75/90 = 75 × 14/90 × 14 = 1050/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
30/84 = 30 × 15/84 × 15 = 450/1260 - Add the two like fractions:
1050/1260 + 450/1260 = 1050 + 450/1260 = 1500/1260 - 1500/1260 simplified gives 25/21
- So, 75/90 + 30/84 = 25/21
In mixed form: 14/21
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