Simplify: 27 6-5 2/3+4 3/4
27 - 6 + 5 2/3 + 4 3/4
= 21 + 5 2/3 + 4 3/4 (simplify 27 - 6)
= 21 + 17/3 + 19/4 (convert mixed numbers to fractions)
= 63/3 + 17/3 + 15/4 (find a common denominator of 12)
= 189/12 + 68/12 + 45/12 (convert fractions to have a common denominator)
= 302/12 (combine the numerators)
= 25 1/6 (convert the improper fraction to a mixed number)
Therefore, 27 - 6 - 5 2/3 + 4 3/4 simplifies to 25 1/6.
Use the photograph to answer the question.
Which element of the New Deal would have MOST benefited the people in the image and others facing a similar situation? Explain
A. the Tennessee Valley Authority
B. the Public Works Administration
C. the Emergency Banking Relief Act
D. the Farm Security Administration
To simplify the expression, we follow the order of operations:
Step 1: Simplify within parentheses (if any).
There are no parentheses in the expression.
Step 2: Simplify exponents (if any).
There are no exponents in the expression.
Step 3: Perform multiplication and division, from left to right.
27 ÷ 6 = 4.5
Step 4: Perform addition and subtraction, from left to right.
4.5 - 5 = -0.5
Step 5: Add the remaining fractions.
2/3 + 3/4
To add these fractions, we need to find a common denominator.
The least common multiple of 3 and 4 is 12.
Converting the fractions to have a common denominator of 12:
2/3 = 8/12
3/4 = 9/12
Now, we can add the fractions:
8/12 + 9/12 = 17/12
Step 6: Simplify the result if possible.
17/12 cannot be simplified further.
Final Answer: -0.5 + 17/12
To simplify the expression, we need to perform the operations in the correct order, known as the order of operations (PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
Let's break down the expression step by step:
First, we evaluate within any parentheses or brackets if they were present, but in this case, there aren't any.
Next, we simplify any exponents or powers, but there are none in this expression.
Moving on, we perform multiplication and division from left to right.
Expression: 27 * 6 - 5 * 2/3 + 4 * 3/4
Calculate the multiplication first:
27 * 6 = 162
5 * 2/3 = 10/3
4 * 3/4 = 12/4
Now, the expression becomes:
162 - 10/3 + 12/4
Next, we perform addition and subtraction from left to right.
Calculating the addition and subtraction:
162 - 10/3 + 12/4 = 162 - 10/3 + 3
To add the fractions, we need a common denominator, which is 3 in this case. So, we convert 3 to the same denominator:
162 * 3/3 - 10/3 + 3 * 3/3 = 486/3 - 10/3 + 9/3
Now, the expression becomes:
486/3 - 10/3 + 9/3
We can now combine the fractions together since they have the same denominator:
486 - 10 + 9 / 3
Finally, we perform subtraction and addition:
486 - 10 + 9 = 485
So, the simplified expression is 485.