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
1. incorrect
2. correct
3. correct
To find the product and simplify 4/9 of 15/8, follow these steps:
Step 1: Multiply the numerators: 4 × 15 = 60
Step 2: Multiply the denominators: 9 × 8 = 72
Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 12.
60 ÷ 12 = 5
72 ÷ 12 = 6
Step 4: Write the simplified fraction:
4/9 of 15/8 = 5/6
Therefore, the answer is A) 5/6.
To calculate how many yards of fabric are needed for 6 scarves, each requiring 3/4 yard, follow these steps:
Step 1: Multiply the number of scarves by the amount of fabric needed for each scarf:
6 × 3/4 = (6/1) × (3/4) = 18/4 = 9/2 = 4.5
Therefore, you would need B) 4 1/2 yards of fabric for 6 scarves.
To find the product of 8 2/5 and 5 1/2, follow these steps:
Step 1: Convert the mixed numbers to improper fractions:
8 2/5 = (8 × 5 + 2)/5 = 42/5
5 1/2 = (5 × 2 + 1)/2 = 11/2
Step 2: Multiply the fractions:
42/5 × 11/2 = (42 × 11)/(5 × 2) = 462/10
Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2.
462 ÷ 2 = 231
10 ÷ 2 = 5
Step 4: Write the simplified fraction as a mixed number:
231/5 = 46 1/5
Therefore, the answer is A) 46 1/5.
To find the product of two fractions, you simply multiply the numerators together and multiply the denominators together. Then, simplify the resulting fraction if possible.
1) 4/9 of 15/8:
To find the product, you multiply numerators and denominators:
(4 * 15) / (9 * 8) = 60/72
Since both the numerator and denominator are divisible by 12, we can simplify by dividing them by 12:
60/72 = (60 ÷ 12) / (72 ÷ 12) = 5/6
So the answer is A) 5/6.
2) Scarves and fabric:
Each scarf needs 3/4 yard of fabric. To find how much fabric is needed for 6 scarves, we multiply the amount of fabric needed for one scarf (3/4 yard) by the number of scarves (6):
(3/4) * 6 = 18/4 = 9/2
The answer is B) 4 1/2 yards.
3) Multiplying mixed numbers:
To multiply mixed numbers, first convert them to improper fractions, then proceed as with ordinary fractions. After finding the product, simplify the resulting fraction if possible.
8 2/5 x 5 1/2:
First, convert mixed numbers to improper fractions:
8 2/5 = (8 * 5 + 2) / 5 = 42/5
5 1/2 = (5 * 2 + 1) / 2 = 11/2
To find the product, multiply the numerators and denominators:
(42/5) * (11/2) = (42 * 11) / (5 * 2) = 462/10
The resulting fraction can be simplified 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 answer is A) 46 1/5.