Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 09, 2024

Find the value of $\frac{1}{2} \cdot \frac{1}{8}$ .

STEP 1

Assumptions
1. We need to find half of one-eighth.
2. One-eighth is represented as the fraction $\frac{1}{8}$ .

STEP 2

To find half of a number, we divide the number by 2.
$Half\, of\, a\, number = \frac{Number}{2}$

STEP 3

Now, apply this to one-eighth.
$Half\, of\, one-eighth = \frac{\frac{1}{8}}{2}$

STEP 4

Dividing by 2 is the same as multiplying by the reciprocal of 2, which is $\frac{1}{2}$ .
$Half\, of\, one-eighth = \frac{1}{8} \times \frac{1}{2}$

STEP 5

Multiply the numerators and the denominators.
$Half\, of\, one-eighth = \frac{1 \times 1}{8 \times 2}$

STEP 6

Calculate the product of the numerators and the denominators.
$Half\, of\, one-eighth = \frac{1}{16}$
Half of one-eighth is $\frac{1}{16}$ .

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