Solve Mixed Number Division: 1½ ÷ 6 Step-by-Step

Question

Solve the following problem:

$\frac{1\frac{1}{2}}{6}=\text{?}$

00:05 Let's break down the fraction. We'll use the factorization law. Ready?

00:19 First, express the number one as a fraction. Just write it as one over one.

00:26 Now, let's rewrite the exercise step by step.

00:31 Find a common denominator. Then, combine the fractions on top.

00:38 You will notice, we have a fraction over another fraction.

00:47 Here's a trick. When dividing fractions, multiply by the reciprocal.

01:06 Now, we'll apply the factorization law to break down twelve into factors.

01:13 This helps us reduce the fraction easily. Almost there!

01:19 We'll find the solution in fraction form first.

01:22 Finally, let's convert it to a decimal fraction. Good job!

01:27 And there you have it! That's the solution.

Let's first look at the numerator of the fraction. We will convert it to an addition exercise containing two fractions:

$1+\frac{1}{2}$

$1=\frac{2}{2}$

This leaves us with:

$\frac{\frac{2}{2}+\frac{1}{2}}{6}=$

$\frac{\frac{2+1}{2}}{6}=$

$\frac{\frac{3}{2}}{\frac{6}{1}}=$

Let's now multiply the two fractions together—numerator by numerator and denominator by denominator:

$\frac{1\times3}{2\times6}=$

$\frac{3}{12}=\frac{3}{3\times4}$

Finally, simplify:

$\frac{3}{3\times4}=\frac{1}{4}$

$\frac{1}{4}=0.25$

$0.25$