convert the following decimals to fraction 1.646
Answers
Answer:
1646/1000
You can simplify this further.
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Step-by-step explanation:
1.646 = 823
500
= 1323
500
as a fraction
To convert the decimal 1.646 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
1.646 = 1.646
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,
1.646
1
= (1.646 × 1000)
(1 × 1000)
= 1646
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(1646,1000) = 2. So,
(1646÷2)
(1000÷2)
= 823
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 1646
1000
is also equal to 1323
500
when expressed as a mixed number.