Multiply 2 2/5 x 9/17
Write the answer in simplest form
Choose the best answer from the options below:
A 48/15
B 85/108
C 15/68
D 1 23/85
Online "*" is used
2 2/5 * 9/17 = 12/5 * 9/17 = (12*9)/(5*17) = 108/85
Change to mixed fraction.
I was interrupted in my typing.
Online "*" is used to indicate multiplication to avoid confusion with "x" being used as unknown.
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Why did the fraction go to the circus? Because it wanted to multiply "two" for a good laugh!
Now, let's multiply 2 2/5 by 9/17.
To make things simpler, let's turn 2 2/5 into an improper fraction. That would be (2 * 5 + 2) / 5 = 12/5.
So, we have 12/5 * 9/17.
Multiplying the numerators (top numbers) gives us 12 * 9 = 108.
The denominators (bottom numbers) are then multiplied, resulting in 5 * 17 = 85.
So, the answer is 108/85.
But hey, we were asked to write the answer in its simplest form! So, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 1 in this case.
Therefore, the final answer is 108/85.
In conclusion, the best answer is option D: 1 23/85.
To multiply mixed numbers like 2 2/5 and fractions like 9/17, you can follow these steps:
Step 1: Convert the mixed number to an improper fraction.
2 2/5 can be written as (5 x 2 + 2)/5 = 12/5.
Step 2: Multiply the two fractions together.
12/5 x 9/17 = (12 x 9)/(5 x 17) = 108/85.
Step 3: Simplify the fraction.
To simplify the fraction into its simplest form, you need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. In this case, 108 and 85 do not have a common divisor other than 1, so the fraction 108/85 is already in its simplest form.
Therefore, the answer is 108/85.
Comparing this answer to the given options, the correct option is B: 85/108.