Solve the Fraction Division: 1/4 ÷ 1/2 Step by Step

Question

Solve the following exercise:

$\frac{1}{4}:\frac{1}{2}=\text{?}$

00:05 Let's solve the problem step by step.

00:08 First, divide the numerator by the numerator, and the denominator by the denominator.

00:14 Next, calculate the quotients. You're doing great!

00:19 And there you go! That's the solution to our question.

When we approach solving such questions, we need to know the rule of dividing fractions,

When we need to divide a fraction by a fraction, we use the method of multiplying by the reciprocal.

This means we flip the numerator and denominator of the second fraction, and then perform fraction multiplication.

Instead of:

1/4 : 1/2 =

We get:

1/4 * 2/1 =

We'll remember that in fraction multiplication we multiply numerator by numerator and denominator by denominator

1*2 / 4*1 =
2/4 =

We'll reduce the fraction and get:

1/2

$\frac{1}{2}$