QuestionCalculate $5 \frac{1}{2} \times \frac{1}{5}$ .

Studdy Solution

STEP 1

Assumptions1. We are multiplying a mixed number ( $5 \frac{1}{}$ ) by a fraction ( $\frac{1}{5}$ ). . We know that multiplication of fractions requires the numerators to be multiplied together and the denominators to be multiplied together.

STEP 2

First, we need to convert the mixed number into an improper fraction. We can do this by multiplying the whole number part by the denominator of the fractional part and then adding the numerator of the fractional part.
$5 \frac{1}{2} = \frac{5 \times2 +1}{2}$

STEP 3

Now, plug in the given values to calculate the improper fraction.
$5 \frac{1}{2} = \frac{5 \times2 +1}{2} = \frac{11}{2}$

STEP 4

Now that we have the improper fraction, we can multiply this by the other fraction.
$\frac{11}{2} \times \frac{1}{}$

STEP 5

Multiply the numerators together and the denominators together.
$\frac{11 \times1}{2 \times5}$

STEP 6

Calculate the result of the multiplication.
$\frac{11 \times1}{2 \times5} = \frac{11}{10}$

STEP 7

Now that we have the result as an improper fraction, we can convert this back into a mixed number. We do this by dividing the numerator by the denominator.
$\frac{11}{10} =1 \frac{1}{10}$ $5 \frac{1}{2} \times \frac{1}{5} =1 \frac{1}{10}$

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QuestionCalculate $5 \frac{1}{2} \times \frac{1}{5}$ .

Studdy Solution

STEP 1

Assumptions1. We are multiplying a mixed number ( $5 \frac{1}{}$ ) by a fraction ( $\frac{1}{5}$ ). . We know that multiplication of fractions requires the numerators to be multiplied together and the denominators to be multiplied together.

STEP 2

First, we need to convert the mixed number into an improper fraction. We can do this by multiplying the whole number part by the denominator of the fractional part and then adding the numerator of the fractional part.
$5 \frac{1}{2} = \frac{5 \times2 +1}{2}$

STEP 3

Now, plug in the given values to calculate the improper fraction.
$5 \frac{1}{2} = \frac{5 \times2 +1}{2} = \frac{11}{2}$

STEP 4

Now that we have the improper fraction, we can multiply this by the other fraction.
$\frac{11}{2} \times \frac{1}{}$

STEP 5

Multiply the numerators together and the denominators together.
$\frac{11 \times1}{2 \times5}$

STEP 6

Calculate the result of the multiplication.
$\frac{11 \times1}{2 \times5} = \frac{11}{10}$

STEP 7

Now that we have the result as an improper fraction, we can convert this back into a mixed number. We do this by dividing the numerator by the denominator.
$\frac{11}{10} =1 \frac{1}{10}$ $5 \frac{1}{2} \times \frac{1}{5} =1 \frac{1}{10}$

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QuestionCalculate 512×155 \frac{1}{2} \times \frac{1}{5}521​×51​.

Studdy Solution

STEP 1

Assumptions1. We are multiplying a mixed number (515 \frac{1}{}51​) by a fraction (15\frac{1}{5}51​). . We know that multiplication of fractions requires the numerators to be multiplied together and the denominators to be multiplied together.

STEP 2

First, we need to convert the mixed number into an improper fraction. We can do this by multiplying the whole number part by the denominator of the fractional part and then adding the numerator of the fractional part.512=5×2+125 \frac{1}{2} = \frac{5 \times2 +1}{2}521​=25×2+1​

STEP 3

Now, plug in the given values to calculate the improper fraction.512=5×2+12=1125 \frac{1}{2} = \frac{5 \times2 +1}{2} = \frac{11}{2}521​=25×2+1​=211​

STEP 4

Now that we have the improper fraction, we can multiply this by the other fraction.112×1\frac{11}{2} \times \frac{1}{}211​×1​

STEP 5

Multiply the numerators together and the denominators together.11×12×5\frac{11 \times1}{2 \times5}2×511×1​

STEP 6

Calculate the result of the multiplication.11×12×5=1110\frac{11 \times1}{2 \times5} = \frac{11}{10}2×511×1​=1011​

STEP 7

Now that we have the result as an improper fraction, we can convert this back into a mixed number. We do this by dividing the numerator by the denominator.1110=1110\frac{11}{10} =1 \frac{1}{10}1011​=1101​512×15=11105 \frac{1}{2} \times \frac{1}{5} =1 \frac{1}{10}521​×51​=1101​

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QuestionCalculate $5 \frac{1}{2} \times \frac{1}{5}$ .

Assumptions1. We are multiplying a mixed number ( $5 \frac{1}{}$ ) by a fraction ( $\frac{1}{5}$ ). . We know that multiplication of fractions requires the numerators to be multiplied together and the denominators to be multiplied together.

First, we need to convert the mixed number into an improper fraction. We can do this by multiplying the whole number part by the denominator of the fractional part and then adding the numerator of the fractional part.
$5 \frac{1}{2} = \frac{5 \times2 +1}{2}$

Now, plug in the given values to calculate the improper fraction.
$5 \frac{1}{2} = \frac{5 \times2 +1}{2} = \frac{11}{2}$

Now that we have the improper fraction, we can multiply this by the other fraction.
$\frac{11}{2} \times \frac{1}{}$

Multiply the numerators together and the denominators together.
$\frac{11 \times1}{2 \times5}$

Calculate the result of the multiplication.
$\frac{11 \times1}{2 \times5} = \frac{11}{10}$

Now that we have the result as an improper fraction, we can convert this back into a mixed number. We do this by dividing the numerator by the denominator.
$\frac{11}{10} =1 \frac{1}{10}$ $5 \frac{1}{2} \times \frac{1}{5} =1 \frac{1}{10}$