Solve: 9 × 3⅘ Mixed Number Multiplication Problem

Question

Solve the following problem:

9×389= 9\times3\frac{8}{9}=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's use the distributive law
00:07 Let's break down 3 8/9 to 4 minus 1/9
00:10 Multiply the outer factor by each term in parentheses
00:15 Calculate each product separately and then subtract
00:18 Simplify what we can
00:22 And this is the solution to the question

Step-by-Step Solution

Apply the distributive property of multiplication in order to break down the fraction into a subtraction exercise between a whole number and a fraction. This allows us to work with smaller numbers and simplify the operation

Reminder - The distributive property of multiplication allows us to break down the larger term in a multiplication problem into a sum or difference of smaller numbers, which makes multiplication easier and gives us the ability to solve the problem without using a calculator

9×(419)= 9\times(4-\frac{1}{9})=

Apply the distributive property formula a(b+c)=ab+ac a(b+c)=ab+ac

(9×4)(9×19)= (9\times4)-(9\times\frac{1}{9})=

Proceed to solve what's inside of the left parentheses:

9×4=36 9\times4=36

Note that in the right parentheses we can reduce 9 by 9 as follows:

9=91 9=\frac{9}{1}

91×19=9×11×9=99=11=1 \frac{9}{1}\times\frac{1}{9}=\frac{9\times1}{1\times9}=\frac{9}{9}=\frac{1}{1}=1

We obtain the following exercise:

361=35 36-1=35

Shown below are the various steps of the solution:

9×389=9×(419)=(9×4)(9×19)=361=35 9\times3\frac{8}{9}=9\times(4-\frac{1}{9})=(9\times4)-(9\times\frac{1}{9})=36-1=35

Answer

35 35