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.