Question Calculate the expression $-2.5-\frac{1}{2}$ .

Studdy Solution

STEP 1

1. The expression $-2.5-\frac{1}{2}$ involves real numbers.
2. The expression can be simplified by converting mixed numbers to improper fractions or by performing decimal subtraction.
3. The final expression should be a real number.

STEP 2

1. Convert the mixed number $-2.5$ to an improper fraction.
2. Find a common denominator for the fractions.
3. Subtract the fractions.
4. Simplify the result to get the final expression.

STEP 3

Convert the mixed number $-2.5$ to an improper fraction.
$-2.5 = -\frac{5}{2}$

STEP 4

Find a common denominator for the fractions $-\frac{5}{2}$ and $-\frac{1}{2}$ .
Since both fractions already have the same denominator, no further action is needed.

STEP 5

Subtract the fractions $-\frac{5}{2}$ and $-\frac{1}{2}$ .
$-\frac{5}{2} - \left(-\frac{1}{2}\right) = -\frac{5}{2} + \frac{1}{2}$

STEP 6

Combine the numerators over the common denominator.
$-\frac{5}{2} + \frac{1}{2} = \frac{-5+1}{2}$

STEP 7

Simplify the numerator.
$\frac{-5+1}{2} = \frac{-4}{2}$

STEP 8

Simplify the fraction by dividing the numerator by the denominator.
$\frac{-4}{2} = -2$
The solution to the expression $-2.5-\frac{1}{2}$ is $-2$ .

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Question Calculate the expression $-2.5-\frac{1}{2}$ .

Studdy Solution

STEP 1

1. The expression $-2.5-\frac{1}{2}$ involves real numbers.
2. The expression can be simplified by converting mixed numbers to improper fractions or by performing decimal subtraction.
3. The final expression should be a real number.

STEP 2

1. Convert the mixed number $-2.5$ to an improper fraction.
2. Find a common denominator for the fractions.
3. Subtract the fractions.
4. Simplify the result to get the final expression.

STEP 3

Convert the mixed number $-2.5$ to an improper fraction.
$-2.5 = -\frac{5}{2}$

STEP 4

Find a common denominator for the fractions $-\frac{5}{2}$ and $-\frac{1}{2}$ .
Since both fractions already have the same denominator, no further action is needed.

STEP 5

Subtract the fractions $-\frac{5}{2}$ and $-\frac{1}{2}$ .
$-\frac{5}{2} - \left(-\frac{1}{2}\right) = -\frac{5}{2} + \frac{1}{2}$

STEP 6

Combine the numerators over the common denominator.
$-\frac{5}{2} + \frac{1}{2} = \frac{-5+1}{2}$

STEP 7

Simplify the numerator.
$\frac{-5+1}{2} = \frac{-4}{2}$

STEP 8

Simplify the fraction by dividing the numerator by the denominator.
$\frac{-4}{2} = -2$
The solution to the expression $-2.5-\frac{1}{2}$ is $-2$ .

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Question Calculate the expression −2.5−12-2.5-\frac{1}{2}−2.5−21​.

Studdy Solution

STEP 1

1. The expression −2.5−12-2.5-\frac{1}{2}−2.5−21​ involves real numbers.2. The expression can be simplified by converting mixed numbers to improper fractions or by performing decimal subtraction.3. The final expression should be a real number.

STEP 2

1. Convert the mixed number −2.5-2.5−2.5 to an improper fraction.2. Find a common denominator for the fractions.3. Subtract the fractions.4. Simplify the result to get the final expression.

STEP 3

Convert the mixed number −2.5-2.5−2.5 to an improper fraction.−2.5=−52 -2.5 = -\frac{5}{2} −2.5=−25​

STEP 4

Find a common denominator for the fractions −52-\frac{5}{2}−25​ and −12-\frac{1}{2}−21​.Since both fractions already have the same denominator, no further action is needed.

STEP 5

Subtract the fractions −52-\frac{5}{2}−25​ and −12-\frac{1}{2}−21​.−52−(−12)=−52+12 -\frac{5}{2} - \left(-\frac{1}{2}\right) = -\frac{5}{2} + \frac{1}{2} −25​−(−21​)=−25​+21​

STEP 6

Combine the numerators over the common denominator.−52+12=−5+12 -\frac{5}{2} + \frac{1}{2} = \frac{-5+1}{2} −25​+21​=2−5+1​

STEP 7

Simplify the numerator.−5+12=−42 \frac{-5+1}{2} = \frac{-4}{2} 2−5+1​=2−4​

STEP 8

Simplify the fraction by dividing the numerator by the denominator.−42=−2 \frac{-4}{2} = -2 2−4​=−2The solution to the expression −2.5−12-2.5-\frac{1}{2}−2.5−21​ is −2-2−2.

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Question Calculate the expression $-2.5-\frac{1}{2}$ .

1. The expression $-2.5-\frac{1}{2}$ involves real numbers.
2. The expression can be simplified by converting mixed numbers to improper fractions or by performing decimal subtraction.
3. The final expression should be a real number.

1. Convert the mixed number $-2.5$ to an improper fraction.
2. Find a common denominator for the fractions.
3. Subtract the fractions.
4. Simplify the result to get the final expression.

Convert the mixed number $-2.5$ to an improper fraction.
$-2.5 = -\frac{5}{2}$

Find a common denominator for the fractions $-\frac{5}{2}$ and $-\frac{1}{2}$ .
Since both fractions already have the same denominator, no further action is needed.

Subtract the fractions $-\frac{5}{2}$ and $-\frac{1}{2}$ .
$-\frac{5}{2} - \left(-\frac{1}{2}\right) = -\frac{5}{2} + \frac{1}{2}$

Combine the numerators over the common denominator.
$-\frac{5}{2} + \frac{1}{2} = \frac{-5+1}{2}$

Simplify the numerator.
$\frac{-5+1}{2} = \frac{-4}{2}$

Simplify the fraction by dividing the numerator by the denominator.
$\frac{-4}{2} = -2$
The solution to the expression $-2.5-\frac{1}{2}$ is $-2$ .