The simplified form of the expression ( 6 1/5 - 3 3/4 ) as a mixed fraction [tex]2\frac{9}{20}[/tex].
What is the simplified form of the expression?
Given the data in the question;
6 1/5 - 3 3/4
First we convert the mixed fraction into an improper fraction.
6 1/5 = ( 6×5 + 1 )/5 = ( 30 + 1 )/5 = 31/5
3 3/4 = ( 3×4 + 3)/4 = ( 12 + 3 )/4 = 15/4
Hence;
31/5 - 15/4
We re-write both terms with common denominator.
( 31/5 × 4/4 ) - ( 15/4 × 5/5 )
124/20 - 75/20
Now, we can combine the denominators over common denominator.
( 124 - 75 )/20
( 124 - 75 )/20
49/20
Next we convert to a mixed fraction
We can get 20 from 49, 2 times with a remainder of 9
Hence
[tex]\frac{49}{20} = 2\frac{9}{20}[/tex]
[tex]2\frac{9}{20}[/tex]
The simplified form of the expression ( 6 1/5 - 3 3/4 ) as a mixed fraction [tex]2\frac{9}{20}[/tex].
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