Find the product and simplify

4/9 of 15/8
A 5/6
B 5/12
C 32/135'''
D 135/32
You are making scarves for presents. Each scarf needs 3/4 yd of fabric. How many yards of do you need for 6 scarves?
A 9 1/3 yd
B 4 1/2 yd'''
C 8 yd
D 5 1/4 yd
Find the product
8 2/5 x 5 1/2
A 46 1/5
B 40 1/5'''
C 40
D 40 2/5

I do.

(4 / 9) * (15 / 8) ... (4 * 15) / (9 * 8)

"cancel" common factors between the numerator (top)
... and denominator (bottom)

4 is a factor of 8 ... 3 is a factor of 15 and 9 ... (1 * 5) / (3 * 2)

https://www.mathsisfun.com/fractions_multiplication.html

To find the product and simplify 4/9 of 15/8, you need to multiply the numerators and the denominators of the fractions:

(4/9) * (15/8) = (4 * 15) / (9 * 8) = 60/72

Now, you can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 12:

60/72 = (60 ÷ 12)/(72 ÷ 12) = 5/6

So, the simplified product is 5/6.

For the second question about calculating the fabric needed for 6 scarves, you have the information that each scarf requires 3/4 yd of fabric. To find the total fabric needed for 6 scarves, multiply the fabric requirement per scarf by the number of scarves:

(3/4) * 6 = (3 * 6) / 4 = 18/4

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

18/4 = (18 ÷ 2)/(4 ÷ 2) = 9/2

The simplified form of 9/2 is 4 1/2. So, you will need 4 1/2 yd of fabric for 6 scarves.

To find the product of 8 2/5 and 5 1/2, convert the mixed numbers into improper fractions:

8 2/5 = (8 * 5 + 2) / 5 = 42/5
5 1/2 = (5 * 2 + 1) / 2 = 11/2

Multiply the fractions:

(42/5) * (11/2) = (42 * 11) / (5 * 2) = 462/10

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

462/10 = (462 ÷ 2)/(10 ÷ 2) = 231/5

So, the simplified product is 46 1/5.

the middle one is correct

you have trouble multiplying fractions?