FIND THE MISSING VALUES IN THE EQUIVALENT FRACTIONS

Problem 1 :

2/x = 8/20

Solution :

2/x = 8/20

Using cross – multiplication.

2(20) = 8x

40 = 8x

Dividing 8 on each sides.

40/8 = 8x/8

5 = x

So, the value of x is 5.

Problem 2 :

5/7 = 15/x

Solution :

5/7 = 15/x

Using cross – multiplication.

5x = 15(7)

5x = 105

Dividing 5 on each sides.

5x/5 = 105/5

x = 21

So, the value of x is 21.

Problem 3 :

x/8 = 4/32

Solution :

x/8 = 4/32

Using cross – multiplication.

32x = 8(4)

32x = 32

Dividing 32 on each sides.

32x/32 = 32/32

x = 1

So, the value of x is 1.

Problem 4 :

4/12 = 12/x

Solution :

4/12 = 12/x

Using cross – multiplication.

4x = 12(12)

4x = 144

Dividing 4 on each sides.

4x/4 = 144/4

x = 36

So, the value of x is 36.

Problem 5 :

8/10 = 32/x

Solution :

8/10 = 32/x

Using cross – multiplication.

8x = 32(10)

8x = 320

Dividing 8 on each sides.

8x/8 = 320/8

x = 40

So, the value of x is 40.

Problem 6 :

3/10 = 12/x

Solution :

3/10 = 12/x

Using cross – multiplication.

3x = 10(12)

3x = 120

Dividing 3 on each sides.

3x/3 = 120/3

x = 40

So, the value of x is 40.

Problem 7 :

1/x = 2/18

Solution :

1/x = 2/18

Using cross – multiplication.

18 = 2x

Dividing 2 on each sides.

2x/2 = 18/2

x = 9

So, the value of x is 9.

Problem 8 :

x/4 = 2/8

Solution :

x/4 = 2/8

Using cross – multiplication.

8x = 2(4)

8x = 8

Dividing 8 on each sides.

8x/8 = 8/8

x = 1

So, the value of x is 1.

Problem 9 :

1/x = 4/8

Solution :

1/x = 4/8

Using cross – multiplication.

8 = 4x

Dividing 4 on each sides.

4x/4 = 8/4

x = 2

So, the value of x is 2.

Problem 10 :

4/x = 16/24

Solution :

4/x = 16/24

Using cross – multiplication.

4(24) = 16(x)

96 = 16x

Dividing 16 on each sides.

16x/16 = 96/16

x = 6

So, the value of x is 6.

Problem 11 :

x/10 = 20/40

Solution :

x/10 = 20/40

Using cross – multiplication.

40x = 20(10)

40x = 200

Dividing 40 on each sides.

40x/40 = 200/40

x = 5

So, the value of x is 5.

Problem 12 :

5/6 = 20/x

Solution :

5/6 = 20/x

Using cross – multiplication.

5x = 20(6)

5x = 120

Dividing 5 on each sides.

5x/5 = 120/5

x = 24

So, the value of x is 24.

Problem 13 :

1/4 = x/8

Solution :

1/4 = x/8

Using cross – multiplication.

8 = 4x

Dividing 4 on each sides.

4x/4 = 8/4

x = 2

So, the value of x is 2.

Problem 14 :

5/8 = 15/x

Solution :

5/8 = 15/x

Using cross – multiplication.

5x = 15(8)

5x = 120

Dividing 5 on each sides.

5x/5 = 120/5

x = 24

So, the value of x is 24.

Problem 15 :

1/7 = x/21

Solution :

1/7 = x/21

Using cross – multiplication.

21 = 7x

Dividing 7 on each sides.

21/7 = 7x/7

x = 3

So, the value of x is 3.

Problem 16 :

x/9 = 12/27

Solution :

x/9 = 12/27

Using cross – multiplication.

x(27) = 12(9)

27x = 108

Dividing 27 on each sides.

27x/27 = 108/27

x = 4

So, the value of x is 4.

Problem 17 :

1/x = 4/24

Solution :

1/x = 4/24

Using cross – multiplication.

24 = 4x

Dividing 4 on each sides.

24/4 = 4x/4

x = 6

So, the value of x is 6.

Problem 18 :

1/3 = 5/x

Solution :

1/3 = 5/x

Using cross – multiplication.

x = 3(5)

x = 15

So, the value of x is 15.

Problem 19 :

3/7 = 12/x

Solution :

3/7 = 12/x

Using cross – multiplication.

3x = 12(7)

3x = 84

Dividing 3 on each sides.

3x/3 = 84/3

x = 28

So, the value of x is 28.

Problem 20 :

x/3 = 3/9

Solution :

x/3 = 3/9

Using cross – multiplication.

9x = 3(3)

9x = 9

Dividing 9 on each sides.

9x/9 = 9/9

x = 1

So, the value of x is 1.

Problem 21 :

7/12 = x/60

Solution :

7/12 = x/60

Using cross – multiplication.

7(60) = 12x

420 = 12x

Dividing 12 on each sides.

420/12 = 12x/12

x = 35

So, the value of x is 35.

Problem 22 :

1/5 = 2/x

Solution :

1/5 = 2/x

Using cross – multiplication.

x = 10

So, the value of x is 10.

Problem 23 :

2/9 = 8/x

Solution :

2/9 = 8/x

Using cross – multiplication.

2x = 9(8)

2x = 72

Dividing 2 on each sides.

2x/2 = 72/2

x = 36

So, the value of x is 36.

Problem 24 :

2/4 = 10/x

Solution :

2/4 = 10/x

Using cross – multiplication.

2x = 4(10)

2x = 40

Dividing 2 on each sides.

2x/2 = 40/2

x = 20

So, the value of x is 20.