Question

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Answer 1

The simplified form of the expression  ( 6 1/5 - 3 3/4 ) as a mixed fraction $2\frac{9}{20}$.

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

$\frac{49}{20} = 2\frac{9}{20}$

$2\frac{9}{20}$

The simplified form of the expression  ( 6 1/5 - 3 3/4 ) as a mixed fraction $2\frac{9}{20}$.

Learn more about fractions here: brainly.com/question/10708469

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