Answer:
11 and one fourth.
or
[tex]11\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given the expression to be solved:
8 and one-half minus 2 + 4 and three-fourths
Let us solve them step by step:
8 and one-half can be represented as:
[tex]8\dfrac{1}{2}[/tex]
Method to solve a mixed fraction of the form [tex]p\frac{q}{r}[/tex] is:
[tex]p\dfrac{q}{r} = \dfrac{p\times r+q}{r}[/tex]
[tex]8\dfrac{1}{2}= \dfrac{8 \times 2+1}{2} = \dfrac{17}{2}[/tex]
Similarly, solving 4 and three-fourths:
[tex]4\dfrac{3}{4} = \dfrac{4 \times 4+3}{4} = \dfrac{19}{3}[/tex]
Now, the given expression:
[tex]8\dfrac{1}{2}-2+4\dfrac{3}{4}[/tex]
[tex]\Rightarrow \dfrac{17}{2} -2+\dfrac{19}{4}\\\Rightarrow \dfrac{17 \times 2-2 \times 4+19\times 1}{4}\\\Rightarrow \dfrac{34-8+19}{4}\\\Rightarrow \dfrac{45}{4}\\\Rightarrow 11\dfrac{1}{4}[/tex]
So, the answer is 11 and one fourth.
