Add 1/84 and 70/27
1st number: 1/84, 2nd number: 2 16/27
1/84 + 70/27 is 1969/756.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
1/84 = 1 × 9/84 × 9 = 9/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
70/27 = 70 × 28/27 × 28 = 1960/756 - Add the two like fractions:
9/756 + 1960/756 = 9 + 1960/756 = 1969/756 - So, 1/84 + 70/27 = 1969/756
In mixed form: 2457/756
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