(4/5) - (3/4) + (3)
AAAaannndd the bot gets it wrong yet again!
3 1/20
To solve the expression (4/5) - (3/4) + (3), we need to follow the order of operations, which is often referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Step 1: Simplify within parentheses, if any. There are no parentheses in this expression.
Step 2: Perform any exponents, if any. There are no exponents in this expression.
Step 3: Perform multiplication and division from left to right. There is no multiplication or division in this expression.
Step 4: Perform addition and subtraction from left to right.
Calculating the expression step-by-step:
(4/5) - (3/4) + 3
To subtract fractions, we need to find a common denominator. The common denominator for 5 and 4 is 20.
(4/5) - (3/4) + 3 * [(4/4) * (5/5)]
= (4/5) - (3/4) + 3 * (20/20)
= (4/5) - (3/4) + 60/20
Now, we need to find a common denominator for (4/5) and (3/4). The common denominator is 20.
= (4/5) * [(4/4) * (4/4)] - (3/4) * [(5/5) * (5/5)] + 60/20
= (16/20) - (15/20) + 60/20
= (16 - 15 + 60) / 20
= 61/20
So, the simplified value of the expression (4/5) - (3/4) + 3 is 61/20.
To simplify the expression (4/5) - (3/4) + (3), we need to find a common denominator for the fractions.
Step 1: Find a common denominator
The denominators in the given fractions are 5 and 4. To find a common denominator, we need to find the least common multiple (LCM) of 5 and 4, which is 20.
Step 2: Convert the fractions to have the common denominator
To convert the fractions, we multiply the numerator and denominator of each fraction by the same value that makes the denominator equal to 20.
For the fraction (4/5):
(4/5) * (4/4) = 16/20
For the fraction (3/4):
(3/4) * (5/5) = 15/20
Now, our expression becomes:
(16/20) - (15/20) + 3
Step 3: Perform the subtraction and addition
Subtract the second fraction from the first, and then add 3 to the result:
(16/20) - (15/20) + 3 =
(16 - 15)/20 + 3 =
1/20 + 3 =
1/20 + (3/1) * (20/20) =
1/20 + 60/20 =
(1 + 60)/20 =
61/20
Therefore, the simplified expression (4/5) - (3/4) + 3 is equal to 61/20.