Question

plz answer this two questions
it's Rational numbers
plz it's urgent ​

Answer 1

Answer:

a) 51/160

b) -2/27

Step-by-step explanation:

Let's first start with a:

(1/10 + 7/15) x (3/16 + 3/8)

First, we have to do the equation inside the perenticies:

1/10 + 7/15

Find the common denominator, which, in this case, is 30.

/30 + /30

Since you multiplied the denominator, 10, by 3, you have to multiply the numerator, 1, by 3 as well.

1 x 3 = 3

3/30 + /30

Since you multiplied the denominator, 15, by 2, you have to multiply the numerator, 7, by 2 as well.

7 x 2 = 14

3/30 + 14/30 = 17/30

So your new equation is:

17/30 x (3/16 + 3/8)

Now we have to do the addition in the perentices on the right. I'll speed through this one.

3/16 + 3/8

/16 + /16

3/16 + /16

3/16 + 6/16 = 9/16

So our simplified equation is:

17/30 x 9/16

Now, all we have to do is multiply it. We do that by multiplying the two numerators by each other and the denominators by each other.

17 x 9 = 153

30 x 16 = 480

Make the product of the two numerators our numerator for this fraction, and do the same for the denominator.

153/480

Simplify

51/160

So the answer to a) is 51/160

Now, let's do b:

(-2/3 + 4/9) x (11/15 - 2/5)

We can flip around the equation in the first perentices to get a subtraction problem, instead of adding to a negative number.

4/9 - 2/3

Find the common denominator:

/9 - /9

Times the numerator, 4, by 1 since you multiplied the denominator, 9 by 1.

4 x 1 = 4

4/9 - /9

You multiplied the denominator, 3, by 3 to get 9. So you have to multiply the numerator, 2, by 3 so the fraction stays equivalent.

2 x 3 = 6

4/9 - 6/9

Now subtract. (The answer will be a negative number.)

4/9 - 6/9 = -2/9

Your new equation:

-2/9 x (11/15 - 2/5)

Now do the equation in the perentices on the right.

11/15 - 2/5

I'm going to gloss over the subtraction part:

/15 - /15

11/15 - /15

11/15 - 6/15 = 5/15

Simplify:

1/3

So your final equation is:

-2/9 x 1/3

Now, all we have to do is multiply it. We do that by multiplying the two numerators by each other and the denominators by each other.

-2 x 1 = -2

9 x 3 = 27

Make the product of the two numerators our numerator for this fraction, and do the same for the denominator.

-2/27

You can't simplify the fraction, so the answer to b is -2/27

Answer 2

Answer:

hii

Step-by-step explanation:

51/160 or 0.31875

-2/37 or -0.054054054