Question

can somebody please help me with my homework if they can do all of it it is about it's just three questions can somebody help me with all three questions

Answer 1

You have to calculate the subtraction of two mixed numbers.

`2(1)/(8)-1(7)/(8)`

To subtract two mixed numbers, the first step is to express the said numbers as improper fractions.

Let's start with 2 1/8. First, divide the whole number by 1 to express it as a fraction and add 1/8 to it:

`(2)/(1)+(1)/(8)`

Next, multiply the fraction 2/1 by 8 (both numerator and denominator) to express it with the same denominator as the fraction 1/8:

`\begin{gathered} (2\cdot8)/(1\cdot8)+(1)/(8) \\ (16)/(8)+(1)/(8) \end{gathered}`

Finally, add both fractions:

`(16+1)/(8)=(17)/(8)`

Now we have to express the mixed number1 7/8 as a fraction. As before, the first step is to divide the whole number by 1 to express it as a fraction and add 7/8:

`(1)/(1)+(7)/(8)`

To add both fractions they must be expressed with the same denominator, so multiply the first fraction by 8, to express it with denominator 8:

`\begin{gathered} (1\cdot8)/(1\cdot8)+(7)/(8) \\ (8)/(8)+(7)/(8) \end{gathered}`

Finally, add both fractions:

`(8+7)/(8)=(15)/(8)`

Now that both mixed numbers are expressed as improper fractions, we can proceed to subtract them:

`2(1)/(8)-1(7)/(8)=(17)/(8)-(15)/(8)`

To add/subtract two fractions, they must be expressed with the same denominator. The denominator of both fractions is "8" so we can subtract the fractions.

You just have to subtract the numerators of the fractions:

`(17)/(8)-(15)/(8)=(17-15)/(8)=(2)/(8)`

The result of the subtraction is 2/8

This fraction is not expressed as its simplest form, both "2" and "8" are divisible by 2, you can simplify this fraction by dividing both the numerator and denominator by 2:

`(2/2)/(8/2)=(1)/(4)`

The simplified result of the subtraction is 1/4