(1/4)to the third +1/8 - (1/21 - 1/28)-4/7(1/8) to the second=
The answer I got is 161/1344 is that correct or am I way off?
my calculator says 23/192
sorry didn't notice that your
answer 161/1344 can be reduced to
23/192, which is the correct answer
so, you were correct, but your answer
is not in lowest terms
To solve this mathematical expression, we'll follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Let's break down the expression step by step:
1. Start by simplifying the exponents:
(1/4)³ = (1/4) * (1/4) * (1/4) = 1/64
(1/8)² = (1/8) * (1/8) = 1/64
2. Next, simplify the parentheses:
(1/21 - 1/28) = (4/84 - 3/84) = 1/84
3. Now let's simplify the multiplication: -4/7 * 1/8² = -4/7 * 1/64 = -1/112
4. Finally, let's add all the simplified terms together:
1/64 + 1/8 - 1/84 - 1/112
To simplify fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 64, 8, 84, and 112 is 672.
Converting all the fractions to have a denominator of 672, we get:
(1/64) * (10/10) = 10/640
(1/8) * (84/84) = 84/672
(1/84) * (8/8) = 8/672
(1/112) * (6/6) = 6/672
Now we can add them all together:
10/640 + 84/672 - 8/672 - 6/672
To add or subtract fractions, we need a common denominator. Since all fractions now have the same denominator, we can add or subtract the numerators:
= (10 + 84 - 8 - 6)/672
= 80/672
Simplifying the fraction:
= (10 * 8)/(80 * 8)
= 1/84
Therefore, the correct answer is 1/84, not 161/1344.