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

Question

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

00:00 Let's break down the fraction using the factorization law

00:09 *

00:14 Write the 1 in fraction form

00:21 Rewrite the exercise

00:26 Use the common denominator and write the fractions together in the numerator

00:33 Left with a fraction over fraction

00:42 When dividing fractions, multiply by the reciprocal

01:01 Use the factorization law to break down 12 into factors

01:08 We can use this to reduce the fraction

01:14 We'll get a solution in fraction form

01:16 And convert to decimal fraction

01:18 And 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:

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

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

$0.25$