Math / Numbers & Operations

Question $2 \frac{1}{8} \div 2=$

Studdy Solution

STEP 1

1. We are dividing a mixed number by a whole number.
2. The mixed number is $2 \frac{1}{8}$ .
3. The whole number is $2$ .

STEP 2

1. Convert the mixed number to an improper fraction.
2. Perform the division by multiplying by the reciprocal.
3. Simplify the resulting fraction, if necessary.

STEP 3

Convert the mixed number $2 \frac{1}{8}$ to an improper fraction.
To do this, multiply the whole number $2$ by the denominator $8$ and add the numerator $1$ .
$2 \times 8 + 1 = 16 + 1 = 17$
Thus, $2 \frac{1}{8} = \frac{17}{8}$ .

STEP 4

To divide by $2$ , multiply by the reciprocal of $2$ , which is $\frac{1}{2}$ .
$\frac{17}{8} \div 2 = \frac{17}{8} \times \frac{1}{2}$

STEP 5

Perform the multiplication of the fractions.
$\frac{17}{8} \times \frac{1}{2} = \frac{17 \times 1}{8 \times 2} = \frac{17}{16}$

STEP 6

Convert the improper fraction $\frac{17}{16}$ to a mixed number, if necessary.
Since $17 \div 16 = 1$ with a remainder of $1$ , we can write:
$\frac{17}{16} = 1 \frac{1}{16}$
The result of $2 \frac{1}{8} \div 2$ is:
$\boxed{1 \frac{1}{16}}$

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