Add 75/28 and 42/9
1st number: 2 19/28, 2nd number: 4 6/9
75/28 + 42/9 is 617/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 28 × 9 = 252,
75/28 = 75 × 9/28 × 9 = 675/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
42/9 = 42 × 28/9 × 28 = 1176/252 - Add the two like fractions:
675/252 + 1176/252 = 675 + 1176/252 = 1851/252 - 1851/252 simplified gives 617/84
- So, 75/28 + 42/9 = 617/84
In mixed form: 729/84
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