how to convert 6.432 into a decimal fraction
Answers
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Answer:
The decimal fraction is 6432/1000 .
Step-by-step explanation:
Decimal fraction is a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.
Steps to convert 6.432 into a fraction.
- Write 6.432 as 6.432/ 1
- Multiply both the numerator and denominator by 10 for each digit after the decimal point.
= 6.432/1
= 6.432 x 1000 /1 x 1000
= 6432/ 1000
- In order to reduce the fraction find the Greatest Common Factor (GCF) for 6432 and 1000.
- Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 6432 are: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The Greatest Common Factor (GCF) for both 6432 and 1000 is: 8
Now to reduce the fraction we divide both the numerator and denominator by the GCF value.
=6432/1000
that is divide both by 8.
= 6432 ÷ 8/ 1000 ÷ 8
= 804/ 125
As a side note the
- whole number-integral part is: 6
- The decimal part is: .432 = 432/1000
- Full simple fraction breakdown: 6432/1000
= 3216/500
= 1608/250
= 804/125
The level of precision are the number of digits to round to. Select a lower precision point below to break decimal 6.432 down further in fraction form. The default precision point is 5. If the last trailing digit is "5" you can use the "round half up" and "round half down" options to round that digit up or down when you change the precision point.
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