Question

What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 2 and one-half minus (negative 1 and three-fourths) A number line going from negative 3 to 0 in increments of One-fourth. a \large -4\frac{1}{4} b \large -\frac{3}{4} c -4 d \large -\frac{1}{2}

Answer 1

B)
`(-3)/(4)`

Explanation:

We are supposed to find the difference of the fractions

a)
`-2(1)/(2)-(-1(3)/(4))`

`=(-5)/(2)+(7)/(4)`

Using equivalent fraction

`-(5)/(2) * (2)/(2) = (-10)/(4)\\\Rightarrow (-10)/(4)+(7)/(4)`

Plot both fractions on number lines

So Using number line

`(-10)/(4)+(7)/(4)=(-5)/(2)+(7)/(4)=(-3)/(4)`

So, Option B is true