Add 75/84 and 24/30
75/84 + 24/30 is 237/140.
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,
24/30 = 24 × 14/30 × 14 = 336/420 - Add the two like fractions:
375/420 + 336/420 = 375 + 336/420 = 711/420 - 711/420 simplified gives 237/140
- So, 75/84 + 24/30 = 237/140
In mixed form: 197/140
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