help multiply and use simplest form 4 1/5*10/21*9/20

21/5 *10/21 *9*20

The twenty-ones divide out.
The 10/20 reduces to 1/2, leaving,

1/5*9/2 which is 9/10

check me.

Well, when it comes to multiplication and simplifying fractions, you've come to the right place! Let's start by multiplying the numerators and the denominators together.

4 1/5 * 10/21 * 9/20

First, let's convert the mixed number 4 1/5 into an improper fraction. That would be 21/5.

Now, we can multiply the fractions:

(21/5) * (10/21) * (9/20)

When we multiply the numerators (21 * 10 * 9) and the denominators (5 * 21 * 20), we get:

(21 * 10 * 9) / (5 * 21 * 20)

Now, let's simplify this fraction! Cancel out any common factors between the numerator and the denominator.

First, we can cancel out a 21. Then, we can simplify further by canceling out a factor of 5 from the numerator and denominator:

(2 * 9) / (1 * 4 * 20)

That simplifies to:

18 / 80

And we can simplify it even further by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

9 / 40

So, the simplest form of 4 1/5 * 10/21 * 9/20 is 9/40. Ta-da!

To multiply these fractions and express the result in simplest form, follow these steps:

Step 1: Begin by multiplying the numerators (top numbers) of the fractions together:
4 1/5 * 10/21 * 9/20 = (4 + 1/5) * 10/21 * 9/20

4 + 1/5 = 20/5 + 1/5 = 21/5

Therefore, we have:
21/5 * 10/21 * 9/20

Step 2: Next, multiply the denominators (bottom numbers) together:
5 * 21 * 20 = 2100

Therefore, we now have:
21/5 * 10/21 * 9/20 = (21 * 10 * 9) / (5 * 21 * 20)

Step 3: Simplify the fraction as much as possible:
21 * 10 * 9 = 1890
5 * 21 * 20 = 2100

The fraction becomes:
1890 / 2100

Step 4: Reduce the fraction to its simplest form by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it:
GCD of 1890 and 2100 is 210

Divide both the numerator and denominator by 210:
1890 ÷ 210 = 9
2100 ÷ 210 = 10

Therefore, the fraction in simplest form is:
9/10

So, the result of multiplying 4 1/5 * 10/21 * 9/20 and simplifying is 9/10.

To multiply and simplify the given fractions: 4 1/5 * 10/21 * 9/20, follow these steps:

Step 1: Convert the mixed number 4 1/5 to an improper fraction.

To do this:
- Multiply the whole number (4) by the denominator of the fraction (5).
- Add the product to the numerator (1).
- Write the sum over the original denominator.

4 1/5 = (4 * 5 + 1)/5 = 21/5.

Now we have: 21/5 * 10/21 * 9/20.

Step 2: Multiply the numerators and denominators of all the fractions together.

Multiply the numerators: 21 * 10 * 9 = 1890.
Multiply the denominators: 5 * 21 * 20 = 2100.

Now we have: 1890/2100.

Step 3: Simplify the fraction to its simplest form.

To simplify the fraction:
- Find the greatest common divisor (GCD) of both the numerator and the denominator.
- Divide both the numerator and denominator by their GCD.

In this case, the GCD of 1890 and 2100 is 210.
Dividing both the numerator and denominator by 210, we get:

1890 ÷ 210 = 9.
2100 ÷ 210 = 10.

So, the simplified fraction is: 9/10.

Therefore, the product in simplest form is 9/10.