Question

Erica Turner can you please help me with another math question

Answer 1

Substracting fractions

First, we are going to convert both into fractions:

Step 1: multiplying by the denominator

For the first :

`12(1)/(4)`

we multiply the integer by the denominator 4:

12 x 4 = 48

For the second:

`5(2)/(3)`

we multiply the integer by the denominator 3:

5 x 3 = 15

Step 2: adding the answer to the denominator

For the first:

48 + 1 = 49, then

`12(1)/(4)=(49)/(4)`

For the second:

15 + 2 = 17, then

`5(2)/(3)=(17)/(3)`

Now, we have that:

In order to substract them, we must have the same denominator for both.

Step 3: multiplying both fractions by the denominator of the other

First fraction:

We multiply it by the denominator of the second, which is 3

`(49)/(4)=(49\cdot3)/(4\cdot3)=(147)/(12)`

Second fraction:

We multiply it by the denominator of the first, which is 4:

`(17)/(3)=(17\cdot4)/(3\cdot4)=(68)/(12)`

Now, we have that:

Step 4: substracting them

Now, we substract the numerators and keep the same denominator:

Then

`12(1)/(4)-5(2)/(3)=(79)/(12)`

Answer: 79/12