WRITE DECIMAL AS FRACTION IN SIMPLEST FORM

Write the following as fractions in simplest form :

Problem 1 :

0.8

Solution :

We consider the denominator as 1.

= 0.8/1

Multiply both numerator and denominator by 10.

= [(0.8)/1) × (10/10)]

= 8/10

= 4/5

So, the simplest form is 4/5.

Problem 2 :

0.88

Solution :

We consider the denominator as 1.

= 0.88/1

Multiply both numerator and denominator by 100.

= [(0.88)/1) × (100/100)]

= 88/100

= 44/50

= 22/25

So, the simplest form is 22/25.

Problem 3 :

0.888

Solution :

We consider the denominator as 1.

= 0.888/1

Multiply both numerator and denominator by 1000.

= [(0.888)/1) × (1000/1000)]

= 888/1000

= 444/500

= 222/250

= 111/125

So, the simplest form is 111/125.

Problem 4 :

3.5

Solution :

We consider the denominator as 1.

= 3.5/1

Multiply both numerator and denominator by 10.

= [(3.5)/1) × (10/10)]

= 35/10

= 7/2

So, the simplest form is 7/2.

Problem 5 :

0.49

Solution :

We consider the denominator as 1.

= 0.49/1

Multiply both numerator and denominator by 100.

= [(0.49)/1) × (100/100)]

= 49/100

So, the simplest form is 49/100.

Problem 6 :

0.25

Solution :

We consider the denominator as 1.

= 0.25/1

Multiply both numerator and denominator by 100.

= [(0.25)/1) × (100/100)]

= 25/100

= 1/4

So, the simplest form is 1/4.

Problem 7 :

5.06

Solution :

We consider the denominator as 1.

= 5.06/1

Multiply both numerator and denominator by 100.

= [(5.06/1) × (100/100)]

= 506/100

= 253/50

So, the simplest form is 253/50.

Problem 8 :

3.32

Solution :

We consider the denominator as 1.

= 3.32/1

Multiply both numerator and denominator by 100.

= [(3.32/1) × (100/100)]

= 332/100

= 166/500

= 83/25

So, the simplest form is 83/25.

Problem 9 :

0.085

Solution :

We consider the denominator as 1.

= 0.085/1

Multiply both numerator and denominator by 1000.

= [(0.085/1) × (1000/1000)]

= 85/1000

= 17/200

So, the simplest form is 17/200.

Problem 10 :

3.72

Solution :

We consider the denominator as 1.

= 3.72/1

Multiply both numerator and denominator by 100.

= [(3.72)/1) × (100/100)]

= 372/100

= 186/50

= 93/25

So, the simplest form is 93/25.

Problem 11 :

1.096

Solution :

We consider the denominator as 1.

= 1.096/1

Multiply both numerator and denominator by 1000.

= [(1.096)/1) × (1000/1000)]

=1096/1000

= 548/500

= 274/250

 = 137/125

So, the simplest form is 137/125.

Problem 12 :

4.56

Solution :

We consider the denominator as 1.

= 4.56/1

Multiply both numerator and denominator by 100.

= [(4.56/1) × (100/100)]

= 456/100

= 228/50

= 114/25

So, the simplest form is 114/25.

Problem 13 :

0.064

Solution :

We consider the denominator as 1.

= 0.064/1

Multiply both numerator and denominator by 1000.

= [(0.064/1) × (1000/1000)]

= 64/1000

= 8/125

So, the simplest form is 8/125.

Problem 14 :

0.625

Solution :

We consider the denominator as 1.

= 0.625/1

Multiply both numerator and denominator by 1000.

= [(0.625/1) × (1000/1000)]

= 625/1000

= 125/200

= 25/40

= 5/8

So, the simplest form is 5/8.

Problem 15 :

0.115

Solution :

We consider the denominator as 1.

= 0.115/1

Multiply both numerator and denominator by 1000.

= [(0.115/1) × (1000/1000)]

= 115/1000

= 23/200

So, the simplest form is 23/200.

Problem 16 :

2.22

Solution :

We consider the denominator as 1.

= 2.22/1

Multiply both numerator and denominator by 100.

= [(2.22/1) × (100/100)]

= 222/100

= 111/50

So, the simplest form is 111/50.