Add 42/27 and 75/84
1st number: 1 15/27, 2nd number: 75/84
42/27 + 75/84 is 617/252.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 84 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
42/27 = 42 × 28/27 × 28 = 1176/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
75/84 = 75 × 9/84 × 9 = 675/756 - Add the two like fractions:
1176/756 + 675/756 = 1176 + 675/756 = 1851/756 - 1851/756 simplified gives 617/252
- So, 42/27 + 75/84 = 617/252
In mixed form: 2113/252
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