Add 70/84 and 24/27
70/84 + 24/27 is 31/18.
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,
70/84 = 70 × 9/84 × 9 = 630/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
24/27 = 24 × 28/27 × 28 = 672/756 - Add the two like fractions:
630/756 + 672/756 = 630 + 672/756 = 1302/756 - 1302/756 simplified gives 31/18
- So, 70/84 + 24/27 = 31/18
In mixed form: 113/18
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