Solve: Product of Mixed Numbers 4¼ × 3⅔ × 3 1/17

Video Solution

Solution Steps

00:00 Solve

00:07 We want to convert the whole number to a fraction

00:10 Multiply the whole number by the denominator and add to numerator

00:16 Add the fraction

00:20 Calculate 4 times 4

00:25 This is the representation of the entire number as a fraction

00:31 Continue with the same method and find the fractions

00:35 Multiply the whole number by denominator, add to numerator and combine with the fraction

00:44 This is the representation of the entire number as a fraction

00:48 Continue to the last number

00:54 Multiply the whole number by denominator, add to numerator and combine with the fraction

01:01 This is the representation of the entire number as a fraction

01:07 Now let's use this representation of the numbers

01:22 Reduce what we can

01:25 Make sure to multiply numerator by numerator and denominator by denominator

01:39 Break down the fraction to find a whole number

01:51 And this is the solution to the question

Step-by-Step Solution

Multiply each fraction as follows:

Multiply the whole number by the denominator of the fraction and add the number in the numerator of the fraction.

That is:

$4\frac{1}{4}=\frac{4\times4+1}{4}=\frac{16+1}{4}=\frac{17}{4}$

$3\frac{4}{9}=\frac{9\times3+4}{9}=\frac{27+4}{9}=\frac{31}{9}$

$3\frac{1}{17}=\frac{17\times3+1}{17}=\frac{51+1}{17}=\frac{52}{17}$

Now we get the exercise:

$\frac{17}{4}\times\frac{31}{9}\times\frac{52}{17}=$

We simplify the 17 and get:

$\frac{31\times52}{4\times9}=\frac{52}{4}\times\frac{31}{9}=13\times\frac{31}{9}=\frac{403}{9}=44\frac{7}{9}$