Question

What is the value of the expression 5 5/12-3 1/4

Answer 1

`2(1)/(6)`

Explanation:

`5(5)/(12) -3(1)/(4)`

First, make these two fractions mixed numbers.

`(65)/(12) -(13)/(4)`

Now multiply the numerator and denominator by 3 in 13/4 to make the denominators equal.

`(65)/(12) -(13*3)/(4*3)`

`(65)/(12) -(39)/(12)`

Now subtract the fractions.

`(65-39)/(12) \\\\(26)/(12)`

Now write the answer as a mixed number.

`2(2)/(12)`

To simplify the answer divide numerator and denominator by 2.

`2(1)/(6)`

Answer 2

`\boxed{ \bold{2 (1)/(6) }}`

Explanation:

`5(5)/(12) \: - \: 3 (1)/(4)`

• It must be subtracted separately because on the one hand they are whole numbers and on the other mixed numbers.

`(5 \: - \: 3) \: + \: ( (5)/(12) \: - \: (1)/(4) )`

• Mixed and whole numbers are subtracted and remain like this.

`2 \: + \: (1)/(6)`

• We interpret it in a mixed number (fraction).

`\boxed{ \bold{2 (1)/(6) }}`

MissSpanish