♦Answer
Direction: Change the given decimals into fractions.
1. 0.2 Answer/Solution: 1/5
Step 1: Write down the number as a fraction of one:
0.2 = 0.2/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
0.2/1 = (0.2 × 10) / (1 × 10) = 2/10
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(2,10) = 2. So,
(2÷2) / (10÷2) = 1/5 when reduced to the simplest form.
2. 0.84 Answer/Solution: 21/25
Step 1: Write down the number as a fraction of one:
0.84 = 0.84/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
0.84/1 = (0.84 × 100) / (1 × 100) = 84/100
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(84,100) = 4. So,
(84÷4) / (100÷4) = 21/25 when reduced to the simplest form.
3. 2.35 Answer/Solution: 27/20
Step 1: Write down the number as a fraction of one:
2.35 = 2.35/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
2.35/1 = (2.35 × 100) / (1 × 100) = 235/100
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(235,100) = 5. So,
(235÷5) / (100÷5) = 472/0 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 235/100 is also equal to 27/20 when expressed as a mixed number.
4. 3.142 Answer/Solution: 3142/1000
Step 1: Write down the number as a fraction of one:
3.142 = 3.142/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,
3.142/1 = (3.142 × 1000) / (1 × 1000) = 3142/1000
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(3142,1000) = 2. So,
(3142÷2) / (1000÷2) = 1571/500 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER,
thus 3142/1000 is also equal to 3 71/500 when expressed as a mixed number.
5. 0.33 Answer/Solution:
Step 1: Write down the number as a fraction of one:
0.33 = 0.33/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
0.33/1 = (0.33 × 100) / (1 × 100) = 33/100 when expressed as mixed number.
hope it help
