Evaluate the expression 3 4/5 x − 2 1/2 for x=-10.

For this problem just fill in x with -10

The answer is -40 1/2

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To evaluate the expression 3 4/5 x - 2 1/2 for x = -10, we will substitute -10 for x in the expression and simplify the result step by step.

Step 1: Substitute x = -10 in the expression:
3 4/5 (-10) - 2 1/2

Step 2: Multiply the whole number by the fraction:
(3 * 5 + 4) / 5 (-10) - 2 1/2

Step 3: Perform the calculation inside the parentheses:
(15 + 4) / 5 (-10) - 2 1/2

Step 4: Simplify the expression inside the parentheses:
19 / 5 (-10) - 2 1/2

Step 5: Multiply the fraction by -10:
19 / -50 - 2 1/2

Step 6: Convert the mixed number into an improper fraction:
19 / -50 - (2 * 2 + 1) / 2

Step 7: Simplify the mixed number:
19 / -50 - 5 / 2

Step 8: Find a common denominator to subtract fractions:
19 / -50 - (5 * 25) / (2 * 25)

Step 9: Simplify the fractions:
19 / -50 - 125 / 50

Step 10: Combine the fractions with the same denominator:
(19 - 125) / 50

Step 11: Subtract the numerators:
-106 / 50

Step 12: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 2:
-53 / 25

Therefore, the value of the expression 3 4/5 x - 2 1/2 for x = -10 is -53/25.

To evaluate the expression 3 4/5 x - 2 1/2 for x = -10, we need to substitute x with -10 and perform the calculations. Let's break down the expression step by step.

Step 1: Convert the mixed numbers to improper fractions.
3 4/5 = (3 * 5 + 4) / 5 = 19/5
2 1/2 = (2 * 2 + 1) / 2 = 5/2

Step 2: Substitute x with -10 in the expression.
19/5 * (-10) - 5/2

Step 3: Perform the multiplications and subtractions.
= -(19/5 * 10) - 5/2
= -190/5 - 5/2
= -38 - 5/2

Step 4: Convert the mixed number to an improper fraction.
-38 = -38/1

Step 5: Find a common denominator to subtract the fractions.
The common denominator is 2.
-38/1 - 5/2 = -38/1 - (5 * 1)/(2 * 1) = -38/1 - 5/2

Step 6: Convert -38/1 to a fraction with denominator 2.
-38/1 = -38/1 * 2/2 = -76/2

Step 7: Subtract the fractions.
-76/2 - 5/2 = (-76 - 5) / 2 = -81/2

Therefore, when x = -10, the value of the expression 3 4/5 x - 2 1/2 is -81/2 or -40.5.