Divide. 1/8 ÷ 1/2=_____

Identify Reciprocal: Identify the reciprocal of the divisor. To divide by a fraction, you multiply by its reciprocal. The reciprocal of 1/2 is 2/1.Rewrite as Multiplication: Rewrite the division as a multiplication. 1/8 ÷ 1/2 is the same as 1/8 * 2/1.Perform Multiplication: Perform the multiplication. Multiply the numerators and the denominators separately. (1 * 2) / (8 * 1) = 2 / 8.Simplify Fraction: Simplify the fraction. 2 / 8 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 2 / 8 = 1 / 4.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Divide. $\newline$ $\frac{1}{8}\div\frac{1}{2}=$ _____

View step-by-step help

Home

Math Problems

Algebra 1

Multiply and divide rational numbers

Full solution

Q. Divide.

\newline

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

_____

Multiply fractions by reciprocal: To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. $\newline$ $\frac{1}{8} \div \frac{1}{2} = \frac{1}{8} \times \frac{2}{1}$
Multiply numerators and denominators: Now, we multiply the numerators together and the denominators together. $\newline$ $\frac{1}{8} \times \frac{2}{1} = \frac{(1 \times 2)}{(8 \times 1)} = \frac{2}{8}$
Simplify fraction: The fraction $\frac{2}{8}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $\frac{2}{8} = \frac{2 \div 2}{8 \div 2} = \frac{1}{4}$