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Sagot :
Answer:
Answer:
2.215=2 43/200
Step-by-step explanation:
Showing the work
Rewrite the decimal number as a fraction with 1 in the denominator
2.215=2.215/1
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000
2.215/1×1000/1000=2215/1000
Find the Greatest Common Factor (GCF) of 2215 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5,
2215÷5/1000÷5=443/200
Simplify the improper fraction,
=2 43/200
In conclusion,
2.215=2 43/200
Answer:
[tex]\frac{731}{330}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating numbers placed after the decimal point.
let x = 2.2151515... ( multiply both sides by 10 and 1000 )
10x = 22.1515.... → (1)
1000x = 2215.1515.... → (2)
Subtract (1) from (2) thus eliminating the repeating decimal
990x = 2193 ( divide both sides by 990 )
x = [tex]\frac{2193}{990}[/tex] = [tex]\frac{731}{330}[/tex]
Thus
2.2151515..... = [tex]\frac{731}{330}[/tex]
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