Add 42/3 and 75/28
1st number: 14 0/3, 2nd number: 2 19/28
42/3 + 75/28 is 467/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 28 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 3 × 28 = 84,
42/3 = 42 × 28/3 × 28 = 1176/84 - Likewise, for the 2nd fraction, since 28 × 3 = 84,
75/28 = 75 × 3/28 × 3 = 225/84 - Add the two like fractions:
1176/84 + 225/84 = 1176 + 225/84 = 1401/84 - 1401/84 simplified gives 467/28
- So, 42/3 + 75/28 = 467/28
In mixed form: 1619/28
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