What does 3/8 x 4/9 mean?

Answers

Answer 1

Answer: 3/8 × 4/9

First, let's see if they can cancel out. Nope. 3 and 8 have no common factors, and neither do 4 and 9.

When you're multiplying fractions together, you can switch out the numerators and denominators (if it helps you visualize things more easily. You won't need to do this step with some practice).

3/8 × 4/9 =
3/9 × 4/8 =

Now three 3 and 9 both have a common factor of 3. Divide them both by that common factor, top and bottom.

3/9 × 4/8 = //Comment: 3 ÷ 3 = 1, 9 ÷ 3 = 3.
1/3 × 4/8 =

4 and 8 likewise have a common factor, but of 4. Divide them both by that common factor. Remember, what you divide or multiply from the top, must also be done with the bottom and vice version. This way it will cancel out.

1/3 × 4/8 = //Comment: 4 ÷ 4 = 1, 8 ÷ 4 = 2.
1/3 × 1/2 =

Now multiply the numerators to each other, and the denominators to each other.

1/3 × 1/2 =
(1 × 1)/(3 × 2) =
1/(3 × 2) =
1/6

That is your answer. To check, we can do the opposite operation. In this case, you can divide the answer by either of the two original fractions and you should get the other. That's a little more advanced though, but a quick and easy way to convert from fraction division to fraction multiplication is to invert the fraction and the division sign to a multiplication sign.

1/6 ÷ 3/8 = 4/9 //Comment: Invert fraction and division sign.
1/6 × 8/3 = 4/9 //Can we cancel out any thing?
1/3 × 8/6 = 4/9

8 and 6 have a common factor of 2. Divide both by that factor.

1/3 × 8/6 = 4/9 //Comment: 8 ÷ 2 = 4, 6 ÷ 2 = 3
1/3 × 4/3 = 4/9

Multiply the numerators together and the denominators together.
1/3 × 4/3 = 4/9
(1 × 4)/(3 × 3) = 4/9
4/(3 × 3) = 4/9
4/9 = 4/9

4/9 = 4/9 which is true. If you like, try it out with 1/6 ÷ 4/9 :)

Related Questions

The price of a table at Best Buy is $220. If the sales tax is 6%, what is the final price of the table including tax?
Cierra has 3 more than one half as many purses as Aisha. Define a variable and write an expression to represent the number of purses in Cierra's collection. Then find the number of purses in Cierra's collection if Aisha has 12 purses.
Describe the image of a dilation with a scale factor of 1
What's 2.85 tons rounded to the nearest hundredth
Is 500 seconds bigger than 8 minutes

Last year the girls’ basketball team had 8 fifth-grade students and 7 sixth-grade students. What was the ratio of sixth-grade students to fifth-grade students on the team?

Answers

The ratio of sixth-grade students to fifth-grade students on the team

is 8 : 7.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Last year the girls’ basketball team had 8 fifth-grade students and 7 sixth-grade students which is 8/7.

In the ratio form, it is 8 : 7.

learn more about proportion here :

brainly.com/question/7096655

#SPJ2

The ratio is 7:8 considering it is 6th to 5th

(4.8x+15.5)+(2.1x-12.2)

Answers

you can drop the parentheses because you cant use them.

So we combine like terms first
1.8x + 2.1x = 3.9x

3.9x + 15.5 -12.2

3.9x + 3.3

hope i helped :)

(4.8x+15.5)+(2.1x-12.2) (4.8x+2.1x)+(15.5-12.2) 6.9+3.300 hope I helped

Twelve boys collected 16 aluminum cans each. Fifteen girls collected 14 aluminum cans each. How many more cans did the girls collect than boys?

Answers

The girls collected 18 more cans.

you need to find the total cans collected by boys and girls. To do this you multiply 16 and 12 for the guys cans and 15 and 14 for the girls cans.

Once you have your products you subtract them and you'll get 18 :)

The girls collected 18 more than the boys

Sandy orders 20 bread rolls for her party and three fifths of the rolls are whole wheat.What other fraction can represent the part of the rolls that are whole wheat?