14 and 2/3 times 2 and 2/11 divided by 3 and 3/8. i got =234 and 1/4 am I correct and if not what is the answer?
The final answer should be 9 and 13/27.
If I understand you post correctly, it could be stated:
(14 2/3)(2 2/11)/(3 3/8)
Get rid of mixed fractions. Dividing by a fraction = multiplying by inverse of fraction.
(44/3)(24/11)(8/27) = 8448/891 = 9.481 = 9 13/27
I hope this helps you to understand the process a little more.
thank you
To solve the expression 14 and 2/3 times 2 and 2/11 divided by 3 and 3/8, we need to use the order of operations (also known as PEMDAS) which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's break it down step by step:
1. Convert the mixed numbers into improper fractions:
14 and 2/3 = (14 * 3 + 2) / 3 = 44/3
2 and 2/11 = (2 * 11 + 2) / 11 = 24/11
3 and 3/8 = (3 * 8 + 3) / 8 = 27/8
2. Multiply 44/3 by 24/11:
(44/3) * (24/11) = (44 * 24) / (3 * 11) = 1056/33
3. Divide 1056/33 by 27/8:
(1056/33) / (27/8) = (1056/33) * (8/27) = (1056 * 8) / (33 * 27) = 8448/891
4. Simplify the fraction if possible:
The fraction 8448/891 can be reduced by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 8448 and 891 is 99.
8448/891 = (8448/99) / (891/99) = 96/9 = 32/3
So the correct answer to the expression is 32/3 or 10 and 2/3, not 234 and 1/4 as you calculated.