convert the following decimal number into fraction in their lowest terms:- ( explain step by step )
1) 12.0 8
2) 15.64
3)11.503
4)6.32
Answers
Answer:
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Answer:
[1]
Write 12.08 as
12.08
1
Multiply both numerator and denominator by 10 for every number after the decimal point
12.08 × 100/1 × 100
=
1208/100
Reducing the fraction gives
Answer: 302/25
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[2]
step 1
Address input parameters and values.
Input parameters and values: The decimal number = 15.64
step 2
Write it as a fraction
15.64/1
step 3
Multiply 100 to both numerator and denominator
(15.64 x 100)/(1 x 100) = 1564/100
It can be written as 1564% = 1564/100 or 1564/100
step 4
To simplify 1564/100 to its lowest terms, find LCM (Least Common Multiple) for 1564 and 100.
4 is the LCM for 1564 and 100
step 5
divide numerator and denominator by 4
1564/100 = (1564 / 4) / (100 / 4)
= 391/25
= when expressed as a mixed number391/25 is a simplest fraction for the decimal point number 15.64
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[3]
11.503 as a fraction equals 11503/1000
Steps to convert 11.503 into a fraction:
Write 11.503 as
11.503
1
Multiply both the numerator and denominator by 10 for each digit after the decimal point:
11.503
1
=
11.503 x 1000/1 x 1000
=
11503/1000
As a side note the whole number-integral part is: 11
The decimal part is: .503 = 503/1000
=Full simple fraction breakdown: 11503/1000
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[4]
=
Step 1: Write down the number as a fraction of one:
6.32 = 6.32
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,
6.32
1
= (6.32 × 100)/(1 × 100)
= 632/100
.
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(632,100) = 4. So,
(632÷4)/(100÷4)
= 158
25
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 632/100
= is also equal to 68/25
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