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

In a garden there are 36 flowers.19 \frac{1}{9} are white and the rest are red.

How many red flowers are there in the garden?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

In a garden there are 36 flowers.19 \frac{1}{9} are white and the rest are red.

How many red flowers are there in the garden?

2

Step-by-step solution

Let's first split 36 into two fractions:

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

19 \frac{1}{9}

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

119=9919=89 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:

89×36 \frac{8}{9}\times36

Let's now multiply the numerator by 36:

8×369 \frac{8\times36}{9}

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

8×36:99:9= \frac{8\times36:9}{9:9}=

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

8×41=8×4=32 \frac{8\times4}{1}=8\times4=32

3

Final Answer

32 32

Practice Quiz

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My numerator is 2 and my denominator is 9.

Which fraction am I?

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