Find the product of 2/3 times 5/9.
To find the product of 2/3 times 5/9, multiply the numerators together and multiply the denominators together:
(2/3) * (5/9) = (2 * 5) / (3 * 9) = 10/27
So, the product of 2/3 times 5/9 is 10/27.
thanks! heres the rest i need help with:
Question 1: Multiply 4/5 times 5/8. Write the answer in the simplest form.
Question 2: Multiply 1/9 by 4 1/8. Write the answer in the simplest form.
Question 3: Multiply 4/5 times 5/8. Convert the product to be a mixed number.
Question 4: Clarissa cycled at 12 1/2 miles per hour for 2 1/2 hours. How far did she travel?
Question 5: Compute: 9/11 times 1/3. Simplify the answer if possible.
Sure! I can help you with the rest of the questions.
Question 1: Multiply 4/5 times 5/8. Write the answer in the simplest form.
To find the product, multiply the numerators together and multiply the denominators together:
(4/5) * (5/8) = (4 * 5) / (5 * 8) = 20/40
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 20:
20/40 = (20 ÷ 20) / (40 ÷ 20) = 1/2
So, the product of 4/5 times 5/8 is 1/2.
Question 2: Multiply 1/9 by 4 1/8. Write the answer in the simplest form.
To multiply a whole number by a fraction, convert the whole number to a fraction by giving it a denominator of 1:
4 1/8 = (4 * 8 + 1) / 8 = 33/8
To multiply two fractions, multiply the numerators together and multiply the denominators together:
(1/9) * (33/8) = (1 * 33) / (9 * 8) = 33/72
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 3:
33/72 = (33 ÷ 3) / (72 ÷ 3) = 11/24
So, the product of 1/9 times 4 1/8 is 11/24.
Question 3: Multiply 4/5 times 5/8. Convert the product to be a mixed number.
We already found that the product of 4/5 times 5/8 is 1/2, which can be written as the mixed number 1 1/2.
Question 4: Clarissa cycled at 12 1/2 miles per hour for 2 1/2 hours. How far did she travel?
To find the distance Clarissa traveled, multiply her speed (12 1/2 miles per hour) by the time she cycled (2 1/2 hours):
(12 1/2) * (2 1/2) = (25/2) * (5/2) = (25 * 5) / (2 * 2) = 125/4
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 25:
125/4 = (125 ÷ 25) / (4 ÷ 25) = 5/1 = 5
So, Clarissa traveled 5 miles.
Question 5: Compute: 9/11 times 1/3. Simplify the answer if possible.
To find the product, multiply the numerators together and multiply the denominators together:
(9/11) * (1/3) = (9 * 1) / (11 * 3) = 9/33
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 3:
9/33 = (9 ÷ 3) / (33 ÷ 3) = 3/11
So, the product of 9/11 times 1/3 is 3/11.