Solve: -6·6÷-3÷? = 24 | Sequential Division Challenge

Question

66:3:?=24 -6\cdot6:-3:?=24

Video Solution

Solution Steps

00:00 Find the unknown
00:05 Write division as a fraction
00:12 Factor 6 into factors 3 and 2
00:25 Reduce what is possible
00:33 Isolate the unknown
00:57 Factor 24 into factors 12 and 2
01:02 Reduce what is possible
01:06 And this is the solution to the question

Step-by-Step Solution

Let's write the exercise in the following form:

6×63:?=24 \frac{-6\times6}{-3}:?=24

We'll factor the 6 in the numerator into a multiplication exercise:

3×2×63:?=24 \frac{-3\times2\times6}{-3}:?=24

We'll cancel out the minus 3 found in the numerator and denominator of the fraction and get:

12:?=24 12:?=24

We'll multiply the question mark:

12=24×? 12=24\times?

We'll divide by 24:

1224=? \frac{12}{24}=?

We'll factor 24 into a multiplication exercise:

1212×2=? \frac{12}{12\times2}=\text{?}

We'll cancel out the 12 in the numerator and denominator of the fraction:

12=? \frac{1}{2}=\text{?}

Answer

12 \frac{1}{2}