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3 years ago

Compare the fraction 3/5 to 1/2 and then compare 2/6 to 1/2. Use symbols in your answer

1 answer:

7 0

Hello there!

"Compare the fraction 3/5 to 1/2 and then compare 2/6 to 1/2. Use symbols in your answer"

To make this easier, we will make it so that both fractions in each pair has like bases.

To make 3/5 and 1/2 have a like base, we must make the denominators 10. To do this, we will do the following:

(3*2)/(5*2) = 6/10

(1*5)/(2*5) = 5/10

Now we can easily compare and not worry about the denominator

So, let's just look at the numerators.

Which is greater, 5 or 6? We know 6 is greater, so:

6/10 > 5/10

That means:

3/5 > 1/2

Now, we must do the same for 2/6 and 1/2

We will make them both 6. So, we can leave 2/6 alone

2/6

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

Now we have 2/6 and 3/6

Which is greater, 3 or 2. The answer to that is 2. So:

3/6 > 2/6

This means that 1/2 > 2/6

Our answers are:

1. 3/6 > 2/6

2. 1/2 > 2/6

I hope I was able to help you!

~ Fire

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Step-by-step explanation:

A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.

Let us first convert the length of the board to inches:

1 ft = 12 inches

13 ft = 12 * 13 = 156 inches

Let the length of each of the other two pieces be x.

Therefore, the length of the third piece is (x - 9)

Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:

x + x + (x - 9) = 156

x + x + x - 9 = 156

=> 3x = 156 + 9

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x = 165 / 3 = 55 inches

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The length of the third piece will be:

55 - 9 = 46 inches

The pieces are 55 inches, 55 inches and 46 inches long.

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