I need to know if I'm answering this correctly.
How can you figure out the size of a of a part without having to draw a diagram? consider example of 2/3 × 4/5.
A) describe how you could draw a diagram to me this calculation.
I would do 5 vertical lines
And 3 diagnosis lines. Then shade in 4 of the 5 vertical lines and 2 on the diagonallines. For my answer to be 8/15.
B) if you completed the diagram, how many parts would there be in all? How do you know?
There will be 15 because of the denominator result.
C) how many of the parts will be counted for the numerator of your result? Again describe how you know.
There will be 8 because of shading.
D) how can you know what the numerator and denominator of a preduct will be without having to draw or envasion a diagram each time? please explain
By multiplying
Yes you are correct
Which question
To figure out the size of a part without drawing a diagram, you can use multiplication. In the example you provided, 2/3 × 4/5, you can follow these steps to find the answer without drawing a diagram:
Step 1: Multiply the numerators (top numbers) together: 2 × 4 = 8.
Step 2: Multiply the denominators (bottom numbers) together: 3 × 5 = 15.
So, the product of 2/3 × 4/5 is 8/15.
To answer your question D, if you want to know the numerator and denominator of a product without drawing or envisioning a diagram each time, follow these steps:
Step 1: Multiply the numerators together.
Step 2: Multiply the denominators together.
The result will be the numerator and denominator of the product respectively.
For example, if you have two fractions: a/b and c/d. When you multiply them, the numerator of the product will be a × c, and the denominator of the product will be b × d.
Using this method, you can determine the numerator and denominator of a product without the need for drawing or visualizing a diagram each time.