Add 30/84 and 75/80
30/84 + 75/80 is 145/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 80 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 84 × 20 = 1680,
30/84 = 30 × 20/84 × 20 = 600/1680 - Likewise, for the 2nd fraction, since 80 × 21 = 1680,
75/80 = 75 × 21/80 × 21 = 1575/1680 - Add the two like fractions:
600/1680 + 1575/1680 = 600 + 1575/1680 = 2175/1680 - 2175/1680 simplified gives 145/112
- So, 30/84 + 75/80 = 145/112
In mixed form: 133/112
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