Answer:
12 ÷(2 + 2/3) ^2 = 27/16= 1 11/16 = 1.6875
Explanation:
Add: 2 + 2/3= 2/1 + 2/3 = 2 · 3/1 · 3+ 2/3 = 6/3 + 2/3 = 6 + 2/ = 8/3 It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - is LCM(1, 3) = 3. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 3 = 3. In the following intermediate step, it cannot further simplify the fraction result by canceling. In other words - two plus two-thirds is eight-thirds. Exponentiation: the result of step No. 1 ^ 2 = 8/3 ^ 2 = 82/32 = 64/9 In other words - eight-thirds raised to the power of squared is sixty-four-ninths. Divide: 12 : the result of step No. 2 = 12 : 64/9 = 12/1 · 9/64= 12 · 9/1 6= 108/64 = 4 · 27/4 · 16 = 27/16. Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 64/9 is 9/ 64) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 4 gives 27/16. In other words - twelve divided by sixty-four ninths is twenty-seven sixteenths.