QuestionCalculate: $\frac{2}{8}-\frac{9}{2}$ without using a calculator.

Studdy Solution

STEP 1

Assumptions1. We are dealing with two fractions $\frac{}{8}$ and $\frac{9}{}$ . . We are subtracting $\frac{9}{}$ from $\frac{}{8}$ .
3. We are not allowed to use a calculator.

STEP 2

First, we simplify the fraction $\frac{2}{8}$ .
$\frac{2}{8} = \frac{1}{4}$

STEP 3

Next, we need to find a common denominator for the two fractions. The common denominator is the least common multiple (LCM) of the two denominators. In this case, the denominators are and2. The LCM of and2 is.

STEP 4

Now, we convert both fractions to equivalent fractions with the common denominator.
$\frac{1}{4} = \frac{1}{4}$ $\frac{9}{2} = \frac{18}{4}$

STEP 5

Now, we subtract the second fraction from the first.
$\frac{1}{4} - \frac{18}{4}$

STEP 6

Perform the subtraction.
$\frac{1}{4} - \frac{18}{4} = \frac{-17}{4}$ So, $\frac{2}{8}-\frac{9}{2} = \frac{-17}{4}$ .

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QuestionCalculate: $\frac{2}{8}-\frac{9}{2}$ without using a calculator.

Studdy Solution

STEP 1

Assumptions1. We are dealing with two fractions $\frac{}{8}$ and $\frac{9}{}$ . . We are subtracting $\frac{9}{}$ from $\frac{}{8}$ .
3. We are not allowed to use a calculator.

STEP 2

First, we simplify the fraction $\frac{2}{8}$ .
$\frac{2}{8} = \frac{1}{4}$

STEP 3

Next, we need to find a common denominator for the two fractions. The common denominator is the least common multiple (LCM) of the two denominators. In this case, the denominators are and2. The LCM of and2 is.

STEP 4

Now, we convert both fractions to equivalent fractions with the common denominator.
$\frac{1}{4} = \frac{1}{4}$ $\frac{9}{2} = \frac{18}{4}$

STEP 5

Now, we subtract the second fraction from the first.
$\frac{1}{4} - \frac{18}{4}$

STEP 6

Perform the subtraction.
$\frac{1}{4} - \frac{18}{4} = \frac{-17}{4}$ So, $\frac{2}{8}-\frac{9}{2} = \frac{-17}{4}$ .

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QuestionCalculate: 28−92\frac{2}{8}-\frac{9}{2}82​−29​ without using a calculator.

Studdy Solution

STEP 1

Assumptions1. We are dealing with two fractions 8\frac{}{8}8​ and 9\frac{9}{}9​. . We are subtracting 9\frac{9}{}9​ from 8\frac{}{8}8​.3. We are not allowed to use a calculator.

STEP 2

First, we simplify the fraction 28\frac{2}{8}82​.28=14\frac{2}{8} = \frac{1}{4}82​=41​

STEP 3

Next, we need to find a common denominator for the two fractions. The common denominator is the least common multiple (LCM) of the two denominators. In this case, the denominators are and2. The LCM of and2 is.

STEP 4

Now, we convert both fractions to equivalent fractions with the common denominator.14=14\frac{1}{4} = \frac{1}{4}41​=41​92=184\frac{9}{2} = \frac{18}{4}29​=418​

STEP 5

Now, we subtract the second fraction from the first.14−184\frac{1}{4} - \frac{18}{4}41​−418​

STEP 6

Perform the subtraction.14−184=−174\frac{1}{4} - \frac{18}{4} = \frac{-17}{4}41​−418​=4−17​So, 28−92=−174\frac{2}{8}-\frac{9}{2} = \frac{-17}{4}82​−29​=4−17​.

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QuestionCalculate: $\frac{2}{8}-\frac{9}{2}$ without using a calculator.

Assumptions1. We are dealing with two fractions $\frac{}{8}$ and $\frac{9}{}$ . . We are subtracting $\frac{9}{}$ from $\frac{}{8}$ .
3. We are not allowed to use a calculator.

First, we simplify the fraction $\frac{2}{8}$ .
$\frac{2}{8} = \frac{1}{4}$

Now, we convert both fractions to equivalent fractions with the common denominator.
$\frac{1}{4} = \frac{1}{4}$ $\frac{9}{2} = \frac{18}{4}$

Now, we subtract the second fraction from the first.
$\frac{1}{4} - \frac{18}{4}$

Perform the subtraction.
$\frac{1}{4} - \frac{18}{4} = \frac{-17}{4}$ So, $\frac{2}{8}-\frac{9}{2} = \frac{-17}{4}$ .