Question

9/20 x 4/5

8/15 x 5/6

7/12 x 3/14

7/10 x 20/21

8/18 x 9/20

3/8 x 4/11

All answers simplified, and explain all how to do them each, explain.

Answer 1

Therefore, the simplified answers are:

1. 9/25

2. 4/9

3. 1/8

4. 2/3

5. 1/5

6. 3/22

Explanation:

To simplify each of these multiplication problems, we can follow these steps:

1. Multiply the numerators (top numbers) together.

2. Multiply the denominators (bottom numbers) together.

3. Simplify the resulting fraction, if possible, by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.

Let's solve each problem:

1. (9/20) x (4/5)

Numerator: 9 x 4 = 36

Denominator: 20 x 5 = 100

Simplify: 36/100 = 9/25

2. (8/15) x (5/6)

Numerator: 8 x 5 = 40

Denominator: 15 x 6 = 90

Simplify: 40/90 = 4/9

3. (7/12) x (3/14)

Numerator: 7 x 3 = 21

Denominator: 12 x 14 = 168

Simplify: 21/168 = 1/8

4. (7/10) x (20/21)

Numerator: 7 x 20 = 140

Denominator: 10 x 21 = 210

Simplify: 140/210 = 2/3

5. (8/18) x (9/20)

Numerator: 8 x 9 = 72

Denominator: 18 x 20 = 360

Simplify: 72/360 = 1/5

6. (3/8) x (4/11)

Numerator: 3 x 4 = 12

Denominator: 8 x 11 = 88

Simplify: 12/88 = 3/22

Therefore, the simplified answers are:

1. 9/25

2. 4/9

3. 1/8

4. 2/3

5. 1/5

6. 3/22