Write the following decimal in fractions and reduce it into simplest form:
6.05
Answers
Step-by-step explanation:
6.05 = 121
20
= 61
20
as a fraction
To convert the decimal 6.05 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
6.05 = 6.05
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,
6.05
1
= (6.05 × 100)
(1 × 100)
= 605
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(605,100) = 5. So,
(605÷5)
(100÷5)
= 121
20
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 605
100
is also equal to 61
20
when expressed as a mixed number.
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How to Convert a Decimal to a Fraction - Steps
Step 1: Write down the decimal as a fraction of one (decimal/1);
Step 2: If the decimal is not a whole number, multiply both top and bottom by 10 until you get an interger at the numerator.
Step 3: Simplify (or reduce) the fraction if it is not in the simplest form.
Learn more reading the examples below or use our self-explaining calculator above
Convert decimal 0.05 to a fraction
0.05 = 1/20 as a fraction
Step by Step Solution
To convert the decimal 0.05 to a fraction follow these steps:
Step 1: Write down the number as a fraction of one:
0.05 = 0.05/1
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,
0.05/1 = (0.05 × 100)/(1 × 100) = 5/100.
Step 3: Simplify (or reduce) the fraction:
5/100 = 1/20 when reduced to the simplest form.
Answer:
121/20 IN FRACTION
Step-by-step explanation:
6.05 IN FRACTION= 121/20 IN FRACTION
SIMPLEST FORM =121/20 = 6 1 20
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