Solve for Red Flowers: Finding 8/9 of 36 in a Garden Problem

Question

In a garden there are 36 flowers. $\frac{1}{9}$ are white and the rest are red.

How many red flowers are there in the garden?

00:00 How many red flowers are in the garden?

00:04 The given number of white flowers

00:08 Subtract this ratio from the whole to find the quantity of red flowers

00:12 Convert from a whole number to an appropriate whole fraction

00:15 Subtract with common denominator

00:22 This is the relative quantity of red flowers

00:30 Multiply this ratio by total flowers to find the number of red flowers

00:37 Raise the product to the numerator

00:48 Reduce the fraction, make sure to divide both numerator and denominator

01:01 Calculate the product

01:06 And this is the solution to the question

Let's first split 36 into two fractions:

The one that represents the white flowers will be as follows:

$\frac{1}{9}$

Now let's find the fraction that represents the red flowers:

$1-\frac{1}{9}=\frac{9}{9}-\frac{1}{9}=\frac{8}{9}$

Next, we'll multiply the number of flowers by the fraction that represents the red flowers:

$\frac{8}{9}\times36$

Let's now multiply the numerator by 36:

$\frac{8\times36}{9}$

We'll then divide both the numerator and denominator by 9:

$\frac{8\times36:9}{9:9}=$

Now we can solve the divisions in the numerator and denominator to get:

$\frac{8\times4}{1}=8\times4=32$

$32$