Procedure to find Product in simplest form
8X5/6
4X1/4
22X13/33
6X1 7/8
8X4/27
110X21/66
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
8 * 5/6 = 40/6 = 20/3
4 * 1/4 = 4/4 = 1
110 * 21/66 = 2310/66 = 770/22 = 385/11 = 35
I have given examples of the process. You do the rest.
To find the product in simplest form, you need to simplify the fractions if they are not already in their simplest form. To simplify a fraction, you need to find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both the numerator and denominator by the GCD.
Let's go step by step for each calculation:
1. 8 x 5/6:
To simplify, we first multiply 8 by 5 to get 40. The denominator remains the same, 6. Since 40 and 6 don't share any common factors other than 1, the fraction is already in simplest form.
2. 4 x 1/4:
We multiply 4 by 1 to get 4. The denominator remains 4. Again, there are no common factors other than 1, so the fraction is already in simplest form.
3. 22 x 13/33:
The numerator is 22 multiplied by 13, which is 286. The denominator remains 33. To simplify, we find the GCD of 286 and 33, which is 11. Dividing both the numerator and denominator by 11, we get 26/3.
4. 6 x 1 7/8:
To multiply the whole number and fraction, we first convert the whole number 6 to an improper fraction. 6 can be written as 6/1. The fraction is now 6/1 multiplied by 7/8. Multiplying the numerators 6 and 7 gives us 42, and the denominators 1 and 8 give us 8. The fraction 42/8 can be simplified by finding the GCD, which is 2. Dividing both the numerator and denominator by 2 gives us 21/4.
5. 8 x 4/27:
The numerator of 8 multiplied by 4 is 32, and the denominator remains 27. The fraction is already in simplest form since 32 and 27 do not share any common factors other than 1.
6. 110 x 21/66:
Multiplying the numerators 110 and 21 gives us 2310, while the denominators 1 and 66 remain the same. To simplify, we find the GCD of 2310 and 66, which is 6. Dividing both the numerator and denominator by 6 gives us 385/11.
So, the products in simplest form are:
1. 8 x 5/6 = 40/6 (or 6 2/3 as a mixed number)
2. 4 x 1/4 = 4/4 (or 1 as a whole number)
3. 22 x 13/33 = 26/3
4. 6 x 1 7/8 = 21/4
5. 8 x 4/27 = 32/27
6. 110 x 21/66 = 385/11